While it's generally not taken literally speaking, usually something led ones self to pop the muffler off, for me it's usually I rolled the engine over both fast and slowly and something just doesn't feel right about it, it could be what the operator said about it, or what I found in the fuel tank. Add to this a quick look down the spark plug hole with a mini light, only takes a couple of seconds after the spark plug is removed. If I can see damage on the exhaust side cylinder, there's no sense dragging out a compression tester.
Then remove the muffler and see how bad the situation is best as can be before going any further. Then the decision, to repair or to junk is made after a $$$ evaluation is made.
Also I would point out that 95% of what comes across the bench for damaged P/C is a scoring event, broken and stuck rings are not quite common and sadly most of these machines get burned up before ever getting anywhere close to being worn out. So it's just a matter of playing the odds. And you will find those with severely damaged pistons still holding reasonably good compression, little more than a half inch at the top of the stroke will build enough to fire and run.
It's nothing that can be taken from a text book, rather from experience over time that brings a person to such conclusions. So can a compression tester help diagnose these things as well? Most certainly, alas just not the only way. As long as your way gets you to that proper conclusion then who's to say who's is right and who's is wrong.
Lastly, not everyone asking for advice has a full compliment of two stroke mechanics special tools, making them go out and get one might only not find the problem, but discourage the saw owner as well.
The hardest saw you'll ever fix or fail on is one you've never laid eyes on. I find it extremely difficult at times to nail it at the first go around, some times I am when everyone else is not and sometimes the reverse is quite true as well. That's just the way it goes and we don't get the benefit of any more clues that one would find along the way through the process either for the next guess, only what could be wrong can be brought forth. However, with the benefit of having many members present with all different experiences that right diagnosis is usually in there.