Personally, I wouldn't like Sasuke with Yata Mirror, and the reason is simple... it would suck up all his chakra reserves with few strong blows, and that's not Sasuke's fighting style.
And guess what... yes, every jutsu has its weakness. In the case of the Uchiha lineage (pure-blood of course), the strongest jutsus consumes too much chakra, and they don't have great chakra reserves (look at the characteristics of the Sons of the Sage of the Six Path, and look to how chakra is created and molded, these are the facts that support my statement).