No but success should be the key factor
Sustained success, or failure plays part in stature.
Newcastle are clearly bigger than Blackburn imo.
Everton simikar bracket to Newcastle. Everton likely just shade it for me. Can't recall any one glory hunting Newcastle, but can recall Everton.
No one glory hunted Blackburn either despite walker money and few years near top and winning pl.
Fans wearing other clubs shirts down here or other places usually a good indication of a club reaching top tier, or very close to, stature.
Leeds simikar bracket to Newcastle and Everton.
Sheff weds very close to same bracket, but are now a tier or two below as never won anything significant when they were pushing on in 90s/early 2ks before losing the plot over the past decade or two.
We're not even at Middlesbrough/qpr or Portsmouth level imo. Held back by silly ground and need a few years mid table or above and bigger ground, high potential youngsters drawing attention to us. We're not taken seriously by wider football audience yet. Simikar level to Brentford, despite on paper us currently both having vastly superior squads to say Stoke, hull etc.
Were of course a bigger draw to players due being pl, having funds, but we're not a bigger club, stature wise compared to those ijust listed.