The ball itself would not cause thumb problems, only the fit of the drilling on that ball.
I would experiment with your current ball, or another used ball until I got a thumb that felt correct. I wouldn't want to experiment with a new ball.
Assuming you didn't have thumb issues with your old equipment, you should be able to achieve that same feel.
Without seeing the drill and your hand it would be impossible to say. Primary culprits would be the thumb pitch and/or the span.
In a ball with the wrong thumb pitch you can sand the hole way too big but still beat your thumb up. Plus you will have to grip the ball to keep it from falling off.
A ball drilled with the correct thumb pitch, spans, and hole sizes will come off automatically at the correct point for your release, no thought should be required, no changes to your swing needed.