Shooting the same bullets, its personal preference IMO, because at ranges acceptable for .223 ballistically, the precision gains of a bolt over an AR are marginal. And, the benefits of the AR will be useful when shots are quick and up close, with quick follow up shots possible.
The benefits of having a semiautomatic can be more obvious than drawbacks. I'm not sure that the drawbacks are really an issue for a shooter who practices, but here they are. It takes a more skill to shoot an AR with the same precision as a bolt rifle because of things like trigger locktime and multiple recoil impulses before the bullet leaves the AR barrel. At typical ranges I see for eastern hunts, the difference is really not material.
Also, the recoil impulses of an AR with the buffer moving adds some to recoil management to recover the target picture in the sight. But, being a semiautomatic it can be a difference without a distinction when you have to cycle the bolt which can be hard to maintain sight picture. The AR can weigh more than a bolt gun, so that can increase wobble in unsupported shooting positions.
If you are familiar with an AR and like to shoot it. Or, you want to build one and learn to shoot it, I say go for it.