This is something that has changed over the years. When I first started seeing SPs in the early 90s, the driver would usually come up to the room with the girl. He would then leave with the money. With one agency, when I'd open the door, only the driver would be standing there. He'd come in, take the money, count it, walk through the room to make sure I was alone, and leave. Only then would the girl come in. So the driver would be gone with the money before I ever even saw the girl!
But it's now been fifteen years since I've had the driver come to the room. In fact, I remember it was the day after the Habs last won the Stanley Cup.