There is a factory-installed vent fan for the whole bathroom. It vents into the space under the tub, where there is a screened exit through the floor. There is no specific toilet vent fan - putting one in place is the subject of this thread.
In most RVs, the (rigid) vent pipe goes straight up and exits through the roof. That doesn't work in a TM because the roof goes up and down. Another choice is to vent through a new opening in the sidewall of the bathroom, as you noted. The Amazon fan that you noted would work as a through-the-roof whole-bathroom vent fan, but that duplicates the fan that is already in place. It would probably not work as a sidewall vent fan because it is too thick. It couldn't be mounted on the outside of the sidewall because the upper shell couldn't slide down over it when the camper is closed. And it wouldn't work inside the trailer because I'm not sure how you would attach a hose or pipe to it.
Travis' idea of connecting a toilet-specific vent fan directly into the plumbing vent seems a good one.
Bill
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