Another old idea that became new again, this time with the benefit of forced air.
When I was in the 5th grade, we were moved to the so called "old school" in the village where I grew up. The bathrooms were in the basement and the toilets were ancient with painted steel tanks and washdown bowls, each bowl with a side vent. This vent was connected by ductwork and exhausted into the chimney (this chimney non-functioning as the stoves in the classrooms had been removed long before my time). My guess is that the hot smoke from the stoves would pull air through the vents in the toilets and help to reduce "bathroom odors" (as they were discretely referred to by the air freshener ads back in the 1960's). Of course I remember that basement sanctuary smelling more of gray oil base deck paint and Blox Fresheners (paradichlorobenzene moth cakes or urinal blocks).
These new vented toilets ought to be installed where I work. I sometimes have to hold my breath as I walk through the men's room to get to my locker. The air in there is often rank with evil that brewed within (of course not within me, LOL) and made its ghastly escape!!!