Take, for example, this information that I collected on the number of goalies each team has used in the last 10 years (since 1998-99). What stat is the best predictor of the number of goalies? Turns out it is GAA. Most observers would agree that GAA is strongly team-influenced, especially for goalies who play on very weak teams. Of the 10 best teams in GAA, only Ottawa and Philadelphia used more than 11 goalies. Of the 15 worst teams, everyone except Columbus used more than 11 goalies, and some of the teams used 20 or more.
Some of this effect is legitimately a result of goalie quality, but the fact that so many different goalies failed to make an impact on the league's weakest teams shows how tough it was to play there. It also shows how much more stable the goaltending situation tends to be on a top defensive team, and why goalies who come into the league on one of those teams have a much better chance at staying in that position for a while.
Here is the list of teams with GAA and number of goalies they have employed in the last decade:
(Post edited to correct errors)