Most cyclists will tell you that 2-stroke snowmobiles are more powerful than 4-stroke snowmobiles. However, a 4-stroke engine will provide you with better compression ratios. These slight differences in performance will probably only be noticed by experienced cyclists. Think of a snowmobile where the engine lasts longer than the chassis or has a lot of power to weigh what you are looking for.
I remember when I was a teenager in the late seventies and there were rumors that Honda was developing a four-stroke snowmobile.