When you are using an ohm meter--- you are using Ohm's law. The meter pushes a small amount of current through the circuit, measures the voltage drop across the meter probes, then calculates the resistance of the circuit and displays the value.
You can also trouble shoot a circuit while powered up, and measure voltage drops yourself. In either case, you have to have some idea of what you are looking for. When dealing with small circuits that have low current flow when operating properly, it's easy to get fooled because a "short" and a "dead short" are different.
My response was in reply to the OP's mention of his knowledge of electronics compared to what "most guitar techs know". By that response, I assumed the OP knew Ohm's law, a very valuable trouble shooting tool.
You aren't using Ohm's Law at all. You aren't doing any calculations. All you are doing is reading the numbers off of the meter.
It's like trying to argue that someone needs to understand Newton's second law to read a tire pressure gauge. It would certainly be nice to understand how force works, but all you have to do is read the numbers.