The vent fan in our bathroom is powerful enough to suck the cooled air out of the camper, so I would say no on using it in tandem with your A/C. If yours has the ability to circulate air rather than just exhaust, that might be a different story.
Agreed - it'll pull the cooled air out. If the RV has been baking in the sun, then I'll run both. Suck the hot air (up high) out and hopefully the cooler cold air stays low for a bit.
If we're plugged in, or full sun solar, then on hot days I'll leave the fan running.
It will pull all the AC out through the fan. Heat too. I forgot and left mine running while we were out and came back, it was 80 in the trailer. And i suspect the AC never shut off trying to keep up.