That doesnt make much sense, as you would lose a day either way if you had to wait for a sanity lynch.
Investigating myself gives me information on my sanity. Investigating Dynast gives me information on my sanity and on the status of the guy I suspected the most.
Lets assume you are a cop, then you have absolutely no idea whether you are sane or not, because you screwed up.. badly.
Except I do now have an idea. As I said previously, in a game this small, I believe there is only likely to be one cop with sanity issues. Clearly Laddy is that cop, so in my mind, I must be genuine.

Unless of course Laddy is scum, and in which case I think I'm the only cop because no-one else has claimed.