Edit: I'm an idiot. I meant to say left.

The car veers left at highway speeds, with acceleration or not. (probably alignment issues)

The car pulls hard to the left when accelerating. (could be torque steer)

It's important to note that the car steers in the same direction with each symptom - seeing as they might be related. Sorry for the confusion. I think I'll just get an alignment soon and see what happens.