Has it been tried the other way? I don't remember an iteration where they weren't obnoxiously over-endearing. After the initial novelty, it would be better to reduce the amount of fake information you have to read, and any attempt at pretending to be a human is completely fake information at this point.
You can always tell it to respond critically and it will. In fact, I've been doing this for quite a few queries after getting the bubbly endearing first pass, and it really strips the veil away (and often makes things more actionable)