I've owned a couple two stroke bikes in the 60's and flown behind several different 2 stroke UL engines. Not to mention hundreds of hours in front of 2 stroke outboards. Lots of time with chainsaws too. Not to forget lots of model airplane engines in the 50s. Never had a problem with 2 strokes. Most are very reliable when operated properly and have a great power to weight ratio. Simplicity and few moving parts are great too. To me main drawback is heavy fuel burn. Most 2 strokes are partially fuel cooled. They also tend to be a bit peaky. I do remember a Bultaco I rode in 1964 or '65, I think it was a Pursang. 250cc's of pure adrenaline. I think the bike was only around 175lbs and I was even less then. In 1967 I had a modified Yamaha snowmachine that could top 90mph. The factory in Japan sent me parts, mostly bogey wheels to test in local races in NW Alaska. That was the first oil injected 2 stroke I ever saw. Learned a bit cutting and welding to tune the exhaust system volume and lengths for performance.
On the other hand I sure love the smooth, quiet power of the Honda!