My experience has been that bills can often be 5X the actual services. It can matter if you have any sort of real interaction. For minor common stuff you're right it is immaterial -- like a doc visit with a copay. But get a frenectomy? Mole removal? Vein ablation? Ortho surgery? I highly, highly recommend reviewing the procedure codes for anyone who recognizes they are their best, and often only, advocate.
I don’t understand why it’s worth doing that work — ignoring and not paying the subsequent bills in the mail seems to have no downside, so why bother reviewing the procedure codes afterwards? Maybe we’re talking past each other.