I wouldn't expect much of a POI shift at all when heated, not with that much material at the chamber end.

There are a few people on this, and other, forums who think profile makes no difference as to the precision the rifle is capable of. Someone had documented groups from three Colt barrels. A HBAR, Goverment and A1. Not at all surprising, the heavy barrel was the tightest. I'd have to dig it up, but I thought the A1 profile did open up when heated.