3 wire trim motors usually use solenoids. They do not need relays, although, I think you could get them to work. However, I do not see the advantage of using relays on 3 wire PTT motors.
Most newer PTT motors are 2 wire. Relays are required for these to operate. When you buy these for an older motor, make sure you get a conversion kit which includes a new wiring harness and 2 relays.
Both 2 and 3 wire PTT motor could be wired directly to a switch. It would need to be a really heavy switch, say 75Amps or higher. The 3 wire motors could use a SPDT switch. 2 wire PTT motors would need a DPDT switch, also rated at least 75Amps.