I've run 147-180gr ammo through my .30-06 BAR.
No problem, but it's got an M14-style gas system under the forearm.
My particular rifle, however, has a tight chamber, and the bolt has often failed to close on some factory ammo. Before I go afield, I hand-cycle the ammo through the action to be sure I don't have any surprises. When I reload for the rifle, I use small-base resizing dies. It could just be particular to a 1969-vintage Belgian rifle, I haven't heard of others having the same problem.
"Bother", said Pooh, as he chambered another round...