Kenjakus two techniques and burn out after a Domain

I just thought about what was said in the chapter about Kenjaku having trouble using his technique after using a domain.

We know that your curse technique gets burned out after using a domain, but we haven't seen someone with multiple different techniques use a domain. (Yuta doesn't count, he does use multiple techniques but they are all on the foundation of the copy technique)

Kenjaku, as far as my understanding goes, possesses two independent cures techniques, one for the brain swapping and the other from Geto. So when he uses his domain, do both of his burn out after use?

My theory so far is that he will use his Domain, to counter whatever Choso does and Yuki will spring into action, only to find out that Kenjaku inserted his brain technique into the domain, so he can still use CSM.

Any thoughts on that?