I assume that by "advanced position" you mean engine crank position?
The coil in the starter slave solenoid is only powered up while cranking the engine, so shouldn't be on long enough to heat up.
The current through the contacts is only for the pull-in and hold-in coils in the main solenoid on the starter. This should be 80 - 100 Amps very briefly as the starter engages the ring gear, and then drop to 10 - 20 Amps as the starter cranks the engine over. This also should not cause the solenoid to heat up.
Starter slave solenoids should be intermittent rated, rather than continuous rated. Continuous rated solenoids can latch on if there is corrosion in the circuit. Intermittent rated solenoids also tend to have stronger contacts.