You're suggesting in your theory that scum purposefully played badly so that we wouldn't be forced to play well and catch them. Look, this group is not going to do well with Hamilton claiming cop.
N3: they kill rdr. Bunny and Pres say: "damn, scum decided to outguess the doctor and not go for the cop"
N4: they hold the kill. Hamilton claims he was saved. Bunny and Pres say: "damn...nice job doctor!"
N5: they kill
N6: they kill
by now they've gone deep. Yes, Hamilton won't make it to the end, but the scum will get reaction tests to suss out the doctor, the cop, and keep us from getting lots of intel from scum flips.
But your theory is: nah man, it's too straightforward. You gotta go next level! Cut him loose, because town will always get that right. So scum are going to make some weaker psychological bussing plays for less definitive gains.