I don't think it is a goalie problem. It is an in consistent offense problem and a playing from behind problem. Which then also leads to a defense problem and goalies getting hung out to dry.
Start with the last one, playing from behind, first. Like all middling teams these guys don't do well coming from behind. If it gets at all out of hand they aren't able to come back.
[TABLE="border: 1, cellpadding: 1, width: 500"]
[TR]
[TD]When...[/TD]
[TD]Leading[/TD]
[TD]Trailing[/TD]
[TD]Tied[/TD]
[/TR]
[TR]
[TD]After 1[/TD]
[TD]7-0-0[/TD]
[TD]1-5-0[/TD]
[TD]6-4-1[/TD]
[/TR]
[TR]
[TD]After 2[/TD]
[TD]8-1-0[/TD]
[TD]0-5-1[/TD]
[TD]6-3-0[/TD]
[/TR]
[/TABLE]
They MUST start fast. basically once behind they are done. If you think back to the beginning of the year, when they were more consistently doing well, they came out all over the other teams D. Lots of chaos from the forecheck and some goals "down low" against limited structure. Once the game turns in to something structured, UNH can't score - see PP, setup in zone rarely score. If you want to play against UNH, weather the early surge, and turn it in to a structured game. NOTE: most Umile teams struggled against a structured game, UNH doesn't have a winning offensive strategy in these situations, also the classic playoff / NCAA problems with more talented teams against a structured opponent.
Now offense and playing from behind.
Typically playing from behind you need your "big players to make big plays"
Right now when they win it is scoring by committee, "4th line" scored all three against MC. This is really nice, except when you need goals against better, deeper competition. In those games your top 6 need to come to play. Who exactly is UNH's top six? I think I can get to 3/4 we could generally agree on, they are the top 4 goal scorers and top 4 forwards in points. Conmy, LeClerc, Devlin and Winters (the debatable one) these 4 generally stay in the top six with some mixing and matching of Lavins, Sardarian, Caferelli, Skrasttins and Ring (well and Siedem for some unknown reasons).
[TABLE="border: 1, cellpadding: 1, width: 500"]
[TR]
[TD] [/TD]
[TD]% goals for season[/TD]
[TD]% goals in Jan 1[/TD]
[/TR]
[TR]
[TD]Conmy[/TD]
[TD]16%[/TD]
[TD]15%[/TD]
[/TR]
[TR]
[TD]LeClerc[/TD]
[TD]11%[/TD]
[TD]4%[/TD]
[/TR]
[TR]
[TD]Devlin[/TD]
[TD]9%[/TD]
[TD]15%[/TD]
[/TR]
[TR]
[TD]Winters[/TD]
[TD]11%[/TD]
[TD]7%[/TD]
[/TR]
[/TABLE]
So 9 games since Jan 1 and 27 goals so 3 gpg. For the year 76 goas and 24 games so 3.16 gpg. The offense has fallen off just a little, the problem is actually it is less consistent the standard deviation is 2 goals, so basically all over the place as likely to score 5 goals as 1.
If we dig deeper. LeClerc is in a serious goal draught. First 15 games 7 goals, so one every other game. Last 9 games, 1 goal. I think his shot shows it, on a PP against MC had a really nice setup for a one timer that must have been 3 feet off net. Could be some injury or probably he knows he is in a draught and is in his own head. Somebody feed him 50-100 one timers after practice to help him find his lost shot. The other is Winters, who seems to be feast or famine, scoring goals or not even dressed. The first 15 games 6 goals, last 9 just 2.
When you start overly depending on the bottom 6 for goals you generally get less consistent scoring.