I think the RvP hate is more to do with the statement he released in which he publicly disparaged the club and Wenger. That's left a sour taste in the mouths of Arsenal fans. I don't think anybody begrudges a player of RvP's quality moving to a club he feels is more likely to win trophies, especially at his age, although if he'd given it one more year he COULD conceivably won something with Arsenal; if he managed 30 goals last season with little quality service from midfield, one can only dream about how many he could have scored with Cazorla, who's already looking to be the creative force Arsenal were missing last season after the departures of Cesc and Nasri, playing behind him.
But if our best players leaving year after year, the team's failures that those players publicly or privately cite as a reason for wanting out become a self-fulfilling prophecy.
Although it must be said that in a lot of cases, players angling for moves away from Arsenal is as much about money as success, despite what they actually claim. Arsenal can't and won't pay players £200k a week. Other clubs will.