Yeah I saw in the discussion that it is also not clear how it behaves with actual geval particles in the water. However I think multiple other studies have looked into spread of bacteria and viruses and showed this is found near a flushed toilet, but one recent review said the signs where there but it's not certain it's super significant for health. (If I remember correctly, i scanned them pretty fast in a coffee fueled random-interest vortex while I actually really wanted to get on with other things).

Oh and I think it can also help with humidy and mold in toilets? Seem to recall my sister did a BSc project on this and actually gathered data in our home. No clue how significant this was tho.

But yeah it's also just polite, good habit to have i.m.o.