Try this as well when it doesn't start and I guess you are actually saying no crank? - hook up your remote starter switch if she cranks your issue is within the column ignition/NSS/to coil wiring circuit.
How did you correct it from sticking?
It's not always a 'sticking' problem in the true sense of the word. It can be, but not usually.
This particular solenoid design has a 'snap action', they're either fully released or fully operated.
When the magnetic flux in the armature [the moving part] reaches 'critical mass', the armature begins to move.
This movement causes the flux to increase even further and it's 'game over'. The armature will continue to move, causing ever increasing flux until it is fully operated.
So there's a very tight threshold voltage/current which when reached, causes the armature to snap from fully released to fully operated.
If there is sufficient losses in the wiring/connections causing the solenoid to not operated, it may be that the voltage is only just below the critical operate point.
When you tap the solenoid you can cause a couple of different things to happen which on their own or in combination, may be just enough to get the armature to move when you turn the key to start.
You can cause a slightly better connection at either the purple wire, or slightly improved earthing of the solenoid case to the nose cone, or even a slightly better connection of the main terminal on the starter motor side [important for dual winding solenoids]. Any of which may cause a few extra milliamps to flow and get the solenoid over the operate threshold.
The other thing is that the tapping may just jostle the armature a bit and cause a slight drop in sliding friction - you've lowered the operate threshold.
With regard to heat, yes, this can be a problem. It causes increasing resistance in the solenoid windings = less current = less flux = maybe not enough to operate anymore.
But imo, most of the time it is simply exacerbating a problem elsewhere. If you have at least 10 volts on the solenoid wire the instant you rotate the key to start, the solenoid should still operate, though I must admit, that close proximity to headers may be a bit too much of a flaming for any system to put up with, no matter how good everything else is.