You aren't the first to think of this OP. There's a reason why you won't see it that often.
Snowshoes are heavy and not the most efficient. They're not something you want strapped to your back on the way down either. You really have two choices, buy a touring or slackcountry set up like the rest of the world or man up and boot pack a little. Sometimes you'll see snowboarders doing it because they don't want to shell out for a splitboard but most people just skip the step of snowshoes and just boot up.
To answer your question, could ski boots fit in a snowshoe? Yeah, probably, but really it isn't worth your time at all