Good question. I've been pondering that one myself.
It absolutely will work but I'm not sure about the accuracy. There are all kinds of conversions for AR type platforms to fire the 22lr down a .224 barrel.
Traditionally the 22lr barrel is .221 to .2215 for match and a little more sloppy in semi auto's like the 10/22.
The critical factor will be the sealing band on the bullet ( those are absolutely 22lr sub bullets...) If it's .223+ then accuracy should be do-able. It may be a try and see. Possibly a lapped .221 barrel may be the winner except all the .221 barrels produced have a 16 rate and I agree we need at least 15.
I have wondered for a long time why wouldn't a small bore setup work equally as well using air as the power source. In my mind it should work. Both are optimally sub sonic and match ammo is specifically made to not have enough pressure spike to hammer the bullet.