I have a Savage 10BA which for me is a precision rifle.
If a sniper were using it it would become a sniper rifle.
What I consider to be the difference between a precision rifle and a hunting rifle is the weight.
The Savage 10BA weighs in at 14lbs without a scope or rings.
That is not a rifle you will want to carry through the woods or shoot standing up unsupported.
Savage sells the the same barreled action in a more conventional stock which weighs in the neighborhood of 9lbs. Not a lightweight but much better than the alternative.