Well designed suspensions don't let the brakes don't "pull" their wheel to that side.

No idea what's causing yours to apply themselves.
I've heard that old hoses sometimes start to come apart inside and the loose parts can act as a check valve. This would hold the brake on after it's applied. Sound like yours? Or does yours apply itself without your help?
Could it be a bearing?? Is it the brake rotor that's the hottest part or the bearing housing?
This is a tough one.