You’ve just said that Hazard Ozil and Eriksen don’t run games and said that Gylfi doesnt ether but that they are completely different players? I agree with you they are different in that the others go past players, run the attacks of their teams and lay on chance after chance in open ply as well as dropping deeper to dictate play when needed. Gylfi seems to be ok at pressing (but not that good because he’s not as quick as a Kante or even a mad dog like Henderson), he seems to be ok at creating chances, and he looks like he offers an ok goal threat. For me this is the Fellaini argument all over again, yeah he did ok at number 10 but none of the top teams would have a player of that profile at 10 and I think it’s the same with Siggurdson. In isolation he’s ok but at times a turgid Southampton team put us under pressure easily and we seemed to squander possession so easily in the final third.
Hazard doesn't 'run' a game in the way that Silva does.
Ozil hasn't run a game since 2012.
Eriksen could probably do it but he's at his best in the final third with quick, sharp passing - which is why I said in style Gylfi is more akin to a smart price Eriksen than a Hazard or Ozil, or even a Silva, who is the only player out of those you listed that can make a game tick.
And again though you're comparing him to Kante and Henderson - he's not like either of them?
He's a good player in and around the final third. He works hard defensively and has the quality to create chances like he did for the Walcott disallowed goal and the sitter.