Heat Soaked Starter

Maybe we should define "heat soak" vs starter doesn't activate.

The heat soak I recognize is when the starter is sooo hot that the armature expands enuff that it will literally drag the armature on the case magnets, (usually in combination with worn-out armature bushings) causes so much friction that the armature speed is greatly reduced down to barely turning over the engine.
There is sooo much voltage drop causes battery voltage to drop below 9.6vdc at which point the coil won't fire .

Worn denso/mopar starter solenoid electical contacts (AND old style starters) cause intermittent no-starts. (Worn brushes may cause this condition, and THIS is when a tap with a hammer, moving the brushes, - gets it to start)
Sometimes No click, no sound of starter struggling to crank the engine.
Keep clicking the key and eventually it'll go.

So what are you calling "heat soak" ? ? ?