Throwing punches
Julie King, prosecuting, said the way in which the Swansea supporters "surged" into the pub "showed the demeanour" of the fans.
The court heard Roberts, who was seen throwing two punches, now rarely attended football matches.
Williams admitted when questioned he was among the men who rushed into the pub.
He later went to help a fellow Swansea fan who had been knocked to the ground.
Davison had claimed he suffered 14 blows to his legs when he was arrested after police arrived at the scene.
Judge Machin said he would not jail them but said he was considering imposing banning orders when they return to court later in September for sentencing.