Seems less than optimal to me (trying to be nice).

I'm not sure what kind of "trekking" you are talking about but some people do hike the Appalachian Trail in running shoes.

It isn't clear that you'd necessarily have to spend a lot of money (maybe, only, $50-100) and you could use the shoes at home for some purpose. I suspect that anything that you'd want to use for cycling would not be very "heavy duty" trekking shoes.