I think this case is different to others (Meath v Louth in the football, Limerick minors etc.) because no one seems to be disputing that the score actually happened, just how it was recorded. So as the game is all on film it should just be a very simple thing for the ref to check each score against what he wrote down and amend his report accordingly before he submits it - which is what seems to have happened.
Antrim are very hard done by here though. They actually had a larger lead then indicated coming towards the end and Meath would probably have resorted to going for goals, not points. The usual scenario in that instance is that the gap widens, not narrows.
But they are lucky that by correcting the score, they create a draw and thus a replay is natural. If the game had ended a draw, and correcting the score meant one team wins, that would have been a whole different story.
But the lack of complaint by Antrim players at the end was strange. I never knew the score when I was playing, but I would have known the gap between the teams.
The Daly idea of promoting two teams didn't work at all for me. What do you do the following year, relegate two teams? Or do you leave the whole thing uneven, in the two competitions, just because you don't take the hard decision to fix the issue now.