Pulls Right on Acceleration and Left on Deceleration

Thanks all. I hope it is as simple at tire pressure/issues! I’ll check again there first. Still interested in any other replies/ideas.
The car has recently new rear tires, of the same make. Fronts are likely near the legal limit however and not the same as the rear. Moving the wheels around to see if the direction of the pull changes sounds like a good and easy check.

Torque steering is common on FWD absolutely but should not affect RWD cars the same way.
Some details here (was one of the first things I looked up as, like you, I was not sure about this on RWD cars).
https://en.wikipedia.org/wiki/Torque_steering