Although they would be tested as a system, the rules for each piece would still be different.
For example, in my Wayne-Dalton
system, the remote transmitter has its own FCC ID: KJ8HHT-3720
. You can see from the block diagram on the FCC site that it only includes the transmitter, not the receiver.
It would be difficult to argue that the receiver isn't a digital device - anything with pulses over 9000 per second, and "using digital techniques" qualifies - how do you think it decodes the transmitter key codes? Just because it has a motor drive doesn't mean it's not a digital system.