Probably.
Bathrooms in this country do not have “fart fans”, they have ceiling fans whose primary purpose is to clear the steam from the room after you take a shower. Ceiling fans are utterly worthless where it comes to foul-bowel odors. Think about it: the offending object is about 12" above floor level while the fan is at least 7’ above the floor, which means the fan has to drag the fumes up out of the bowl and all the way through the room before sharing it with the sparrows. You might as well not even bother.
Pro-Tip: Next time you are about to unleash a beast, flush the toilet as soon as it goes in the water. Cuts the stink in half at least. Seriously, try it.
Second Pro-Tip: If you feel it’s going to be nasty, fold up a few squares of TP and put it in the toilet before. Minimizes Splash and noise. Still gotta use wet toilet paper to clean up the aftermath on your ass though.
I do not know why but that made me laugh so hard. Nice one!