This is all very nice, and it can keep us Spurs fans all warm and cozy at night, but this particular discussion is in the TW thread and stems from someone pointing out that a specific player will have bigger clubs chasing him making us unlikely to sign him, the context of big club here is who a player is more likely to sign for, and so in this context they are bigger.
No they are more likely win shit and pay higher wages which is what most players and agents go for. You do have players who will drop down teams to play for someone big being the main motivator which sometimes happens with United but mostly players go for ambition not fan size or history.
We as a club pay lower wages and less agent fees. That is more important than Spurs having a bigger past and match day fanbase than Man City.