From the box score it looks like UNH played a good game last night.
I already had the information for the 2019 and 2021 games. The NU win was the only other game in the past four seasons a team lost a 4 goal lead, a total of 5 times out of 878 games (another 5 teams had 4 goal leads in yesterday's games).
For the earlier games, I hope to eventually research and compile information on those seasons, but if you have already done so please let me know if you would be willing to share your data with me. It could probably save me a lot of time.
I do have game results already entered from the 2012-13 season forward and between 2012-18 1,152 games ended with a goal differential of 4 or more goals vs the 3 UNH games you have from that timeframe. I'm sure that there are more games in which a team had a 4 goal lead before it was narrowed and that there are more games than you have listed in which a team lost a 4 goal lead. However, I don't think it likely that there are very many blown 4 goal games overall.
That said, it seems UNH has possibly played in a large percentage of them, including 2 of the 5 games in the past 4 seasons. It also appears that they have flipped it from losing 4 goal leads to coming back from being 4 goals down, although I'm not sure if being behind by 4 and coming back is really better as most teams behind by 4 end up losing.
UNH's real problem the past 4 seasons is that when they get the lead they haven't done a good job of protecting and increasing it. The Wildcats are 46-23-13, 0.640 in games in which they have taken the lead at any point, which puts them 47th out of 62 teams and well below the combined 0.725 winning percentage of all teams. Furthermore, UNH has failed to maintain the lead 50 time over the past 4 seasons, tied for 15th out of 62 teams (some teams have played fewer seasons/games and some teams have taken the lead fewer times than others, so this is not a completely level comparison). The average is 43 blown leads and the median is 45 blown leads, so what a team does after failing to hold the lead is critical. UNH is 14-23-13, 0.410 in those games, 45th out of 62 and well below the average of 0.494. Not surprisingly Minnesota State, Minnesota-Duluth, St. Cloud, Massachusetts and North Dakota, Cornell and Denver are among the top ten (perhaps surprisingly Lake Superior, AIC and Northern Michigan are also in the top ten).
By the way, UNH has improved this season:
13-5-1, 0.711 with lead (0.727 all teams)
10 blown leads (average and median 11)
4-5-1, 0.451 after losing lead (0.471 all teams)
Sean