This is all pretty pointless. I think players are far more concerned with where they live as opposed to where the rink is. As others have mentioned, northern NJ has tons of wonderful places to call home and raise families. The fact that players commute to Newark to play is a non factor for a majority of them. Now, is NJ perhaps less desirous than NYC, Chicago or Montreal? Sure, maybe. But it also helps that those teams are wealthy and competitive right now. The vast majority of players want to make as much money as possible and play in the playoffs.
I suppose one other factor may be playing time, line combos, PP usage, etc.
I simply don't believe that if the Rangers moved from MSG in Manhattan to the Bronx it would have any impact on their ability to sign FA's.