Can toilet or sewage aerosol transfer eggs of human parasites?
Common small protozoa that are present in infective loads in stool have not been documented in toilet aerosols. The size of the organism is going to be an issue here. As you can see from this table from the CDC, intestinal parasites (and ova) of concern to human health are larger than most droplets. Compare, E. coli and Shigella (0.5 - ~2 $\mu m$). Salmonella tends to be a litter larger (up to 5$\mu m$), but I expect those 5 $\mu m$ specimens are not the ones transmitted through aerosols. Cryptosporidium would probably be the most likely candidate, and that's one shown in the first linked study to not be present in aerosols. I wouldn't say it's impossible, but certainly transmission through aerosolized particles is less likely than for the smaller viral and bacterial organisms.