Jim I'll Fix It ran from '75 to '94. The Cosby Show from 1984 to 1992. It could be possible considering European broadcasting was usually behind a year or 2 - 4 in those days and do a lot of re-runs of older TV show seasons to fill up their schedules.
Saville was always considered strange especially towards the end of his career. Times were different, they wouldn't shy away from footage of girls showering and boys pulling a prank on them. Naked kids up to a certain age or implied nudity on TV without it being sexualized wasn't such a big deal. That started to change over time.
With that said, Cosby wasn't seen as a weirdo like Saville. There was no way kids in the 90's would joke about him in that way.
Also, TV show popularity was different in those days. There was simply a commercial channel that aired 'family friendly entertainment' and everyone would just consume it.
Tuesday was Cosby I think and sunday afternoon was always Star Trek followed by Full House and everyone watched it because there wasn't much else on.