Maybe, maybe not. Some sporter taper rifles like a little pressure to shoot really well. Not sure if the Tikka is one since I haven't experimented with them, but I know from past experience a lot of Remington rifles have to have the action and chamber bedded to re-gain accuracy lost once the owner floated the barrel.

If you decide to try it, I go the way mentioned above and use sandpaper rather than a dremel.

A few years ago, a friend dropped his T3 into a B&C stock, that really helped his groups. I don't know if it floated the barrel or not.