This may be overly simplistic, but it seems that going from a small/normal-sized stadium to a big stadium tends to help; whereas going from a big/normal-sized stadium to a bandbox usually leads to an adjustment period.
The great pitchers will excel anywhere, but the average ones are more susceptible to park effects. Just look at the post-Chavez career numbers of just about every Dodger deportee over the last 20 years.
Of course this theory probably only applies to teams that were decent to begin with. Reds, Tigers and Brewers need not apply.
What are the dimensions of New Jake City?