Of course!
Only reason to choose a .308win is to acquire an AR-10 or M1a. If I had a bolt .308 that was sporter configured, I'd sell it, or build it into a Tactical rifle.
There is another option: A long action .308AI will enable about everything that a standard 06 can deliver. Owned one of these on a rem 700la and used only 180gr and heavier bullets. Very workable, but with the 22" benchrest barrel and H-S Tactical stock, just a bit heavy for a walk-about rifle. It was a deliberate tool for precision.
Lots of precision .30-06 rifles out there. Go with a light varmint 22" contour; maybe AI the chamber if 200gr bullets are to your advantage...
This is the charm of the switchbarrel rifle; opt for what you like, as you choose. Although, going .338-06 is most versatile if you want more bullet weight.
