Typically if the guy has a patience rating such that you feel he would normally re-sign, then he will.
I won't say it is 100%, but I will say that the only thing I would be looking at is his patience rating.
It seems pretty obvious that the player does not hold what another team did to him against his new team.
SSS, but the one player that wouldn't re-sign from the list above is the guy with 35 patience...