I ran into this at my last place. I'm the sort of person who likes to pay things ahead so I don't have to think or worry about them. I was used to paying my rent ahead and quarterly.
When I moved to the new place (in a western state), the apartment company insisted that rent be paid exactly on the 1st, and paid online.
Not only did it not want the rent early, it was not possible to pay early, as the company's online system would show a zero balance, and would not show a payment mechanism.
Even worse — I couldn't pay a bunch up front. It would only allow payments for the exact amount due for that month.
Payment was also accepted by check. But only in person, and with a $75 "processing" fee.
And this wasn't some rinky-dink neighborhood landlord. It was a national apartment company with over 20,000 units in a dozen states.
Interestingly, my new apartment has the same online system as the old one, but allows me to pay however much I want as often as I want. (As long as it's not late, duh.) So it wasn't a technical limitation, it was management's policy.