Gurgen Many of the things you list existed decades before he first managed a game. He is a fantastic manager but he has never managed a club in trouble, so we will never know how good he really is.
That is the thing, in this country managers like Shankly, Fergie and Wenger took clubs which were historically big but nowhere near the top and transformed them into footballing superpowers. From a purely footballing perspective Pep may be better than them but he's taken over clubs with deep pockets and great players, clubs who has won titles a year or two before he took over. No doubt he has taken them up a level or two while he was there but he's never built a club from the foundations up.
At Liverpool Shankly is seen as a bigger figure than Paisley who won a lot more than Shankly. Nowadays people have a very simplistic way of comparing with stats/trophies.