That depends. Pretty regularly 57gr of 4350 and a 165gr bullet shoots pretty well in most 30-06's.
Well I've got two take off barrels, in my basement that can attest to the fact that even with that fine load the end result was pretty dismal.
In fact those barrels showed a marked prefrence to bullets with much longer bearing surfaces, shooting quite nicely with 200gr. bullets, and actually being what I'd call not bad with long bearing surface 180's (square base)
165's were diplorable as a matter of fact, be it boatail, square base, and all manner of powders ranging from 4064, right up to 7828. Yes both 4350's too. ( don't even get into seating length, or bedding, or what ever, this is not my first church picnic)
See that's why you can't make blanket statements, about loads.
Let the rifle(barrel) tell you what it likes! That takes range time. And that's a 100% way of telling 100% of the time!
FWIW: The one action (Sako AV) now is a 25'06, and the other (Rem 700), is now a 280AI. I'd have kept either as a 30'06 if they'd have shot 165's worth a pinch, but the 200gr. thing is totally not required for where and what I hunt, so that's why the semi custom route was taken.
