Well, first I think you need to do some more load development with something of at least 140gr and a bullet with a higher level of integrity then the Sierra.
Floating ------------------- Yes!
While I have NEVER had a rifle shoot worse after floating I have had a number shoot clearly better!
Then and considering you already have very huntable groups, more importantly is first shot reliability. Meaning knowing where the first shot will go and do so every time.
Anytime you have wood to barrel contact, you have the possibility of a shift of impact, caused by any number of conditions. Changes of temp, changes in humidity, changes in hold or rest - soft or hard - or changes of point at which the forend is held.
For years I have floated every hunting rifle that comes my way, bolt action or RUGER #1 single shot.
As already said, I have Never had a decrease in accuracy but have seen good improvements.
Those that say a barrel MUST have stock to barrel contact for best accuracy, well maybe in a bench rest target situation where pre shoot for score sighters are allowed, but there are no sighters allowed in a hunting situation and that first shot better go where it's intended EVEN IF the groups might be slightly larger on average.
I have not seen that, but it would be a trade off worth taking!
Crusty Deary Ol'Coot