Big Dunc Ferguson got convicted and jailed for a headbutt that was during the passage of play, whilst he was playing for rangers, so neither of the above statements are true.
Beattie's actions would probably warrant a charge of Common Assault by CPS charging guidelines. (I don't agree that he should be charged with common assault before anyone starts....

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Depends on how he did the dragging. If it was like he did in the video, and the kid ended up with the same injuries then no. Intent and execution are two different things. As Bergen says, if Kermogant's intentions were honourable, his actions were a bit clumsy. But if he was subsequently charged by the FA, then i would certainly expect his defence to be that he was dragging Lowton away from the melee.