A lot quicker to...bad odds.
I agree, youre just training yourself to short yourself time.
Historically, for me at least, except for the occasional .22 (and with them, it was usually only those I removed and slipped back in where the second strike was in another location), the rounds that didnt go bang on the first strike, didnt go bang on subsequent strikes, so why waste the time pulling the trigger again, trying to find out?
The point of the TRB, is to train yourself to act on a stoppage response, without thought, and with a positive result, instead of standing there trying to diagnose the problem. By trying to diagnose, your interrupting your own loop, and at a time you need it most.
The TRB works across most models as well, so its an ingrained response that works, regardless of trigger type.