Once upon a time i was asked to help install a solenoid in an camperVan, the used dusty Solenoid was provided by the owner. Appeared to be 90 amp rated continuous or so.
I hooked it up and some 18 amps were flowing to the house batteries, but the body of solenoid got extremely hot where the studs were not all that hot..
Disconnected it and recommended a new solenoid.
Later realized it was likely a latching solenoid requiring only a momentary burst of 12v to latch and unlatch.
I should have tested it for that, but at the time I was unaware of latching solenoids.
So every time i hear 'hot solenoid', I think of a latching one being fed continuous 12v instead of a momentary 12v burst to latch and unlatch.