As I stated in another post, I received a $75 Class Action Settlement Check because of this very issue. BANK (won't say the name) had a "habit" of holding on to payments for one, two, three days before posting. Since they had eliminated the grace period for late fees, they really increased their fee income at $29 a pop.
Or let me put this another way, if the industry can't discipline itself to process payments in a timely manner, we will wind up with regulations to ensure that we do.
Anyone remember the post-mark legislation that died a couple of years back? It would have required banks to honor the Postmark date on payments sent by mail.
Imagine the record-keeping possibilities there....