Bench Testing Starter - Does It Catch All Electrical Problems?

Hi,

Got an intermittent problem with starting with my 86 1 Ton 22RE. Every
so often, the starter will not crank when the truck is hot. If I wait
overnight it starts right off.

Symptoms when it does not start are no click, lights dim when ignition
switch is placed in the Start position. Head lights are plenty bright
enough. Have not checked voltage across the battery; I might try that
next time it won't start.

I understand that this problem is usually caused by solenoid or starter
winding resistance that builds up when heat is present. I have good
battery contacts and cables.

My question is, can a bench tester like ones at Auto Zone detect this
type of problem, or should I just go ahead and replace the starter? It
is three years old, and might have 10k miles on it (the mechanic that
installed it is out of business now so I'm stuck).

The starter was remanufactured by Orange County Alternator.

TIA,
Kevin