Not sure what the argument is about.
Surely by definition, if you've given up watching out matches because we've been relegated (in any medium) then you're not a fan. What's the point of being a fan if you're not going to watch/follow games. Not a better fan comment. Common sense.
if I watched a TV show and it became awful one season and I stopped watching it, then I wouldn't say I was a fan. I used to be.
Nothing to do with 'better fan' nonsense.