This isn't a wind-up. Why aren't clubs like Leicester and West Ham on par with Everton, in the current climate? What makes us any bigger than them, other than the 9 historic titles? Leeds United always claim to be some big club, but what makes them any bigger than the likes of Swansea, Brentford, Milwall or QPR? Absolutely nothing. I could care less about their historic success, but they are on the same level as those clubs I listed.
West Ham is probably the best supported club outside of the top 6, and now ever since Pellegrini has come in, that club has stabilised. Leicester, with all the great players they produce, consistent top 10 finishes and recent title win, elevates them to a high level. Most of the NFL/NBA teams who come to tour England, they tend to visit West Ham, along with other big clubs.
You listed how Leicester aren't a bigger club than Spurs or West Ham aren't a bigger club than Chelsea, but that is because Spurs are regularly playing in the Champs League, world famous and have the top 4 biggest fan-base in England. Then with Chelsea, they are, just serial winners and of course, they have a lot of fans. We can't claim to have those things, that Spurs or Chelsea have.