Okay, not your first time with a two stroke, mine neither believe me. That tells me that you understand the two stroke principle so there's no need to explain that.
The compression is good and normal for a 89 200 looper. Now, at cranking speed, with the spark plugs removed, if you have spark that will jump a 7/16" gap with a strong blue lightning like flame.... a real SNAP, that leaves the problem to be fuel related. You didn't reply to this question in my previous reply so I have no idea if this spark exists or not.
Also, are you using Champion QL77JC4 plugs? If not, what are you using?
Even if the compression and spark are as they should be, there is always the possibility that a magnet or two of the flywheel has come loose and shifted which will affect the ignition.
The two black coils at the extreme rear of the stator provide approximately 300 AC volts to the powerpack capacitor which is required for proper sustained ignition. Should those coils start to melt down, dripping a sticky looking substance down on the timer base and powerhead, that would result in a voltage drop to the powerpack. If this is the case, replace the stator.
A common operator error is installing the idle jet in the wrong location. And since the idle air jet and the intermediate air jet look the same but are different sizes, this mistake is easy to do. Worth double checking.
Determining if a lean running carburetor is at fault...... With the face plate removed and engine running at an idle, one carb at a time... stick two fingers in the carburetor throat acting as a manual choke. If the engine picks up and smooths out somewhat at any particular carburetor, you've found an offending carburetor.
Let us know what you find.