With the exception of things that have distinctive sounds like blown head gaskets then diagnosis is a matter of testing in a logical order ruling things out 1 at a time starting at the most common hen working through to the more obscure.
The big problems with forums is most responders will come in with that obscure fault that had them stumped for ages because that is the one they remember .
The most common reason for single cylinder engines failing to start is mal adjusted vales
The most common reason for twins to have no power is a dead cylinder
We also need to be careful about our generalized statements. When you just made these two statements, I believe you're referring to riders with single cylinder or twin cylinder engines.
You are absolutely correct about the twins that the most common reason for no starts or no power is because it's only running on one cylinder for whatever reason.
On the singles on the riders I would say that it's not nearly as highly accurate of the percentages.
While a number of them do fail not to start because of misigested valves, a large number of them also have been pushrods, loosened rocker arm studs, and other valve train issues like slip valve guides or pop valve seats which causes no starts.
Now if we're talking about all mowers in general or push mowers, BY FAR it is not valve related at all. The most common reason for no starts on those is fuel delivery issues usually clogged up jets in the carburetor but still fuel or carburation issues and typically not enough of it.
Sometimes we make generalizations and then other people will come back and read the thread later and they may think we're referring to their specific thing when an actuality we were not.