Hey, don't knock the basic idea. After all, somebody built up a hotdog .22 on the .50 BMG. It was regarded as somewhat less than practical.
Early bullets for the .220 Swift would blow up on paper or leaves of grass; spinning too fast for the thickness of the jacket. A 1950 test with my uncle's .22-250 (then called the "Varminter") had a piece of cardboard set a few inches behind the 100-yard paper target. 40-grain bullet, loaded to "very fast". There was a .22 hole in the target; tiny holes and a lead wash on the cardboard. That was his "rough on rabbits" load.
Just guessing, a mostly copper (?) bullet for a .17-.308 could live through the stresses. Again just guessing, I'd say the throat life would be no more than a few hundred rounds. Just guessing.
Art