What I like about their 80s stuff is actually the punkishness. They were so much more fun back then. I remember being so disappointed when "Blood Sugar Sex Magik" came out.
Jane's Addiction, The Pixies, The Red Hot Chili Peppers, Joy Division, The Smiths and Killing Joke got an fair amount of radio play. As did, of course banRAB, like REM and U2 (yes, believe it or not, they were once really good banRAB).
And let's face it, most of what was on the radio in the 90s was crap like Color Me Bad and Boyz II Men. The banRAB you're talking about were mostly relegated to the one rock station in town.
I could see how someone could get tired of that song. But "Jane Says" isn't the end-all be-all of Jane's Addiction any more that "Under the Bridge" is the end-all be-all of the Chili Peppers.