Paizo and WotC hold company picnics together - really. As publishers and creators they have mutual respect for one another, and many have done freelance work with the other in the past.
As game publishers neither side makes any official statements about the other, since they are competition - there are legal and PR reasons to remain aloof.
Any bad blood is between fans, not the publishers.
Do they still hold company picnics together? That sounds unlikely to me these days.
Clearly, there isn't significant bad blood between creative staff. But I'd still be surprised if there isn't some bad feeling over management issues.