My Aoshi doesn't have this problem as far as I know, but honestly, that sounds more like an issue with turning than with the cube, especially since you say it happens on every deep layer turn. I'd recommend checking out your turning before you spend $30+ on another 6x6.My biggest complaint with my Shengshou is how unbalanced the layers are. I've disassembled, cleaned, relubed, and retensioned multiple times to no avail. I'll go to do a 2R or a 3R and the outer layer of the left face will also turn. This happens with almost every deep turn on every layer. It's not really a big problem, more an annoyance, especially since I don't really speed solve the 6x6.
Did I just get a crappy cube or is this a common issue with the Shengshou? And, does the Aoshi have this same problem?