Firstly, you are correct about the Mode-S / ADS-B difference.
A PAW Transmission will NOT have a Signal Strength displayed
Also the SQ(uawk) code will be the PAW Group-ID of the transmitting Aircraft
The NAV tool does not distinguish, because it is not told there is a difference, it is just told there is traffic.
The one reservation is where your PilotAware, and another Traffic item have the same Group-ID, in this case
the Flight-ID is enclosed in '#', so if your Flight-ID is G-ABCD and we are in the same Group-ID, your A/C
will be displayed as
#G-ABCD#