I'm gonna weigh in with something that will probably go over like a fart in church my side business...once my main business...is major appliance repair. If I spent my time testing things with a multimeter like they suggest doing in the official shop manuals, I would have either not made a dime, or charged the customers so much that they would never use me twice! And I would have been wrong the majority of the time!
Why is that, you say? How can this be? Well, testing is fine, but seat of the pants and intuition have worked MUCH MUCH better over the years! Yes, it means that I use the 'shotgun method', but my success rate is dern near 100%.
The thing about using a multi meter is that even though it tests wrong, the part can be bad...way bad. Or, if it tests wrong, the part can be just fine. If your diagnosing is leading to a particular part, I wouldn't depend on the multimeter to confirm that...better to just depend on your own intuition, assuming, of course, that you know what you're doing. The thing that a multimeter does extremely well is a simple continuity test. Good...or not good. That's the only reason I carry one.
In short, a multimeter will lead you down the wrong path more often than not! Now, y'all engineers and wanna be engineers...FLAME ON!!! LOL