Heat Soaked Starter

I believe the heat soak issue is affecting the solenoid more than the starter motor. When I turn the ignition switch, nothing happens. No click, no attempt to rotate, not even any significant light dimming. Seems to me the solenoid plunger is not moving and the starter contacts are never engaging, but I could be wrong.

Some Ford cars/trucks fix the heat soak issue by relocating the solenoid to a cooler location like the firewall or inner fender. A Ford starter must be made different?? Or maybe it's the starter relay getting relocated??