Door Lock Beep?

[i<3yaris]

Okay, I just bought a 2007 Yaris at a Honda dealership yesterday. When I bought it, the keyless entry was not working. The car was still under Toyota's new car warranty, so I figured I would just go get the remote re-programmed. Well, I got to the Toyota dealership and they looked at the keyless remote, which looks identical to the key from my Corolla, and determines that it is in fact an aftermarket key. He also pointed out that it was not an engine immobilizer key. I did not think to ask at that point how it started the car if it was not one. They did program the key, and it works, however when unlocking and locking the doors, the car does not beep as my Corolla (2009) and RAV4 (2006) both do.
Is the car supposed to beep when you lock the doors via the keyless remote? Should I be concerned with the fact that a non-engine immobolizer key is starting the car just fine?
Thanks for your help!