I'd likely be smarter to just say, "I disagree," and leave it at that, but I'm not very smart.
The last UM team to make Frozen Four (2019) was similar to this one: deep up front, at least in theory. Goals dry up in the postseason. That team scored once against a goalie in two FF games, and managed to win one of those. As teams like BC have learned, you have to be able to defend your net and your leads at the end of the year, because the gaudy offense disappears. Three of those four champions in five years needed to advance with essentially only two regulation goals at some point (2012, 2 + an ENG vs Cornell; 2013, 2 in regulation vs both UND and BC; 2015 did score 3 times vs a goalie in both FF games, but it was just as key to hold the opponent to 1; 2016, 2 in regulation vs UW).
In particular, you need to be able to close out a game nursing a late one-goal lead against a good opponent. I haven't seen them do that consistently in recent years. This year, they've played 13 games against teams that figure to be in the tourney field as at-large teams: tOSU, UW, and UMD times 4, plus Yale. Three goals in regulation wouldn't have been enough to win in eight of those. If we add in Penn State, that improves to six wins by scoring three goals in 14 tries. I'm not convinced that adding a little scoring pop will solve all of their problems.
And allowing only three goals wouldn't have been enough to win nine of those thirteen games. I'm not convinced that adding a bit more defense would solve all of their problems. In particular, you need to be able to come back in a game when a good opponent is nursing a one goal lead.
Every truism you post has an equal counter from the other side.
The whole "defense wins championships" thing is just a myth. You win championships by scoring more goals than the teams you play, and it doesn't matter how you go about doing that. I realize that, anytime I cite actual empirical research in one of these discussions, you shrug your shoulders and declare that it doesn't matter, but I'm going to try again.
https://scholarcommons.sc.edu/cgi/viewcontent.cgi?article=1469&context=senior_theses
https://freakonomics.com/2012/01/does-defense-really-win-championships/
https://the-cauldron.com/defense-does-not-win-championships-69887aa968dc
https://www.thestatszone.com/archive/does-defence-win-championships-14048
The basic finding across all of these studies is that the teams most likely to win are balanced and good in both offense and defense. If anything, there is a slight (and statistically insignificant) advantage to having a good offense over a good defense. There is a simple explanation for why a balanced team is, in general, more likely to be successful. Whatever aspect of the game you are, talking about, it's easier to go from being mediocre to good than it is to go from good to great, and easier to go from good to great than it is to go from great to the absolute best. The low hanging fruit is on the side you aren't so good at. There is, however, a caveat to this that I'll get to at the end, when looking at this Minnesota team.
If you actually look back through BC's record, what you find is that an inability to defend their own net was, categorically,
not their consistent problem in their losses. The most common problem was that they were beaten by a team that was significantly better than they were, if you judge by the total offense and total defense of the two teams. Their second biggest problem was losing close games to opponents that were roughly evenly matched with them, in games where BC's defense was not the problem. Let's look at their NCAA tournament losses between 2010-11 and 2017-18, which is the period when they were serious contenders.
2011: Lost 3-2 to Wisconsin in semi; Wisconsin ranked #1 in the NCAA in offense and 4th in the NCAA in defense; BC ranked #12 in offense and #5 in defense; with a minute to play in regulation, the game was tied 2-2
2012: Lost 6-2 to Wisconsin in semi; Wisconsin was #2 in offense and #2 in defense; BC was 14th in offense and 10th in defense
2013: Lost 3-2 in OT to Minnesota in semi; Minnesota was #1 and #1; BC was #2 and #8
2014: Lost 3-1 to Clarkson in quarter; Clarkson was #2 and #1; BC was #4 and #7
2015: Lost 2-1 to Harvard in semi; Harvard was #4 and #5; BC was #1 and #4; game was 0-0 going into the third period
2016: Lost 3-1 to Minnesota in final; Minnesota was #2 and #4; BC was #1 and #3
2017: Lost 1-0 to Wisconsin in semi; Wisconsin was #1 and #1; BC was #6 and #4; game was 0-0 with 30 seconds left
2018: Lost 2-0 to Ohio State in quarter; Ohio State was #13 and #9; BC was #2 and #12; game was 1-0 with five minutes left
In five of those cases (2011, 2012, 2013, 2014, 2017) BC lost to a team that was significantly better. In only one of those games was their defense porous. Overall, in regulation, they gave up three goals to the #1 offense in the nation; six goals to the #2 offense; two goals to the #1 offense; three goals to the #2 offense; and one goal to the #1 offense.
Twice (2015, 2016), they lost to a team that was roughly as good. They gave up two goals to the #4 offense, and three goals to the #2 offense. Again, defense wasn't the problem. Over the 2016 season, the consensus was that the WCHA was a much stronger conference than Hockey East, so that game possibly was the sixth entry in losing to a better team.
In 2018, BC pretty clearly got upset. But it's really hard to make an argument that the defense was the problem when they got shutout.
Aside from looking at each of the games individually, it's also clear by looking at the season rankings that the claim BC consistently had lousy defenses is overblown. Across most of that time, they were a good defense paired with an outstanding offense.
If there's anything that those games suggest, it's that being top five in both offense and defense is the key to winning a title.
So, the 2022-23 Minnesota Gophers. They are not particularly balanced, being #1 in offense and #12 in defense. What I said above would indicate that this is a problem, and they should focus on defense. The caveat is that how good you are at offense and defense is a combination of your personnel and your systems. The roster was set last summer, and it's too late to install new systems now. It is also the case with this team that, contrary to the reason why it is easier to improve the side that you are not good at, there is actually a more plausible case that the offense could improve than there is for the defense. Over the course of the season, the defense has been about as good the whole time as it is now; the defense is what it is. However, we have watched the offense perform much better than it has lately; there is reason to think that it could be better now, and going forward. Which isn't to say that it will be better. Frustration may have set in. But I can envision the scenario in which they score their way to a title, and I can't really come up with that story for them winning by just not allowing goals.