Personally, I'm not really sure it's quite as big of a factor for goalies as it is skaters.
The market for goalie isn't quite as lucrative, both at the pro level, the minor league level, or even as a draft prospect. The path to the NHL tends to more or less go take the same roads, and perfecting one's technique is generally seen as the primary focus and the key to carving out a longer, high-level career then being labeled as a placeholder or journeyman goaltender. So sometimes, going to a team that can provide that level of support is going to win out over vacancies that can be filled almost as quickly as they appeared.
At the end of the day, it's not out of the realm of possibility, but I'm not sure it's quite going to be as big of a driving factor as we might think.