5.56 suppressors are built out of heavier materials to withstand the higher pressures involved, and of those,not all of them are rated for the riguers of full auto fire. So while they work well on a .22LR- they are very heavy compared to a .22LR model. If you put a good .22LR suppressor on a .223 Remington, you would blow it apart and send baffles flying down range in a small number of shots...as they just arent made for it.
That being said I have an older model full auto rated AWC Optima 5.56 suppressor that can be fully taken down for cleaning, that I use on both my AR15 and a Ruger 10/22, and enjoy doing so. The Tactical Solutions barrel for the 10/22 is so lite that you dont really notice the heavier 5.56 suppressor being a bother.
and you can fire 10 shots of CCI standard velocity into a group that can be covered with a quarter at 50 yds....no complaints there lol
5.56 Optima on my 10/22