2 stroke engines will NOT seize when ran at a constant rpm. Neither will they overheat. That's a myth perpetuated by people who know little to nothing about mechanical theory, but use it as a way to explain why their engine broke. Just because something happened to them, they think their experience applies to all.
For decades Lawn Boy used 2 stroke engines on their lawn mowers and there was no adjustable throttle on them. They had two speeds, off and on,that was it. Those mowers would run all day long and never seize or overheat. The same way with 2 stroke street bikes, you could run them at a fixed road speed for as long as you wanted, day after day with no problems whatsoever. There are Suzuki GT 750 "Water Buffalo" bikes around with way over 100,000 miles and they have never seized or overheated once. Water cooling helped, but the air cooled GT 380 and 550 would not overheat or zeize up either.
I won't go into the mechanics of of 2 stroke engines because most people here wouldn't have any idea of what I'm talking about. Suffice to say, 2 stroke power delivery is dependent upon rpm and intake-exhaust resonance. Port a given engine in one manner and you will have a very tractible engine producing usable power over a wide rpm range. Take that very same engine and modify the shape and size of the intake and exhaust ports with a Dremel tool or die grinder and you will have an engine that won't pull the hat off of your head at lower rpms, but will produce tremendous power at a very narrow, high rpm range. It all has to do with the shape, size and location of the ports, along with the configuration of the expansion chamber.
Good examples are the 500 and 750 Kawasaki 2 stroke triples and the Suzuki triples of nearly identical displacement. The Kaws were powerhouses that were hard to keep from wheelieing and were therefore difficult to ride. They were a real pain to ride around town. You either had no power or an uncontrolled wheelie with nothing inbetween. Conversely, the Suzukis were docile, mild mannered, easy to ride anywhere, but you had to force them to wheelie. Nothing unexpected. It was all in the porting.