Depending on the if the property is running the older system (FOSSE/FSPMS) or the newer system, (Opera). Your deposit may be in different hands.

At properties with the older systems, the deposit is a manual process, where the Front Office staff manually goes into a reservation, one-by-one, and takes the deposit. Depending on the size of the property, and how fast bookings come in, the queue may be hundreds or thousands of reservations. (My property rarely sees it ever go under 700 on a given day, and that's with three people working eight hour shifts daily to do it.). At smaller properties, they may on,y run the list once a week.
Sometimes it just takes a little bit for your reservation to make it to "next."

At the properties that have converted already, it's a once a day button click for ALL reservations that came in that require a deposit. Over the next few years, as each property converts, the deposit may become more consistent and timely.