After reading your story, I specifically went to MMO's website to see if they warned AGAINST use in 2-stroke motors; but they certainly don't.
Weird situation.
You've done more than most.......I only ever ran Sta-bil in the gas and things always started up no worries.
I would replace the plug, make sure the bowl on the carb is full, etc. Honda's fire up on the first pull even after sitting (and the gas isn't old/stale).