Lets say I agree with Arsenal being a big club in English football pre Wenger. And I mostly do agree with that.
But English football or football in general was not so popular in 80s & 90s. So the status of being a ‘big club’ was quite localised.
It is similar to Ajax being a big club in Netherlands right now but I don’t think Ajax holds similar stature in world football. (It once did but not in last decade or so before someone points me to 90s)
Celtic & Rangers fans will argue they are a big club and for most parts it is true but their big club status is local.
Dinamo Zagreb, Shaktar, Fenerbahce etc. are all big clubs similar to what Arsenal were.
But they are not big clubs on global scale.