If it was in relation to hillsborough then it's out of order obviously but tbh I don't even think of it in relation to that, just all the other constant whinging and moaning and self pity and woe is me.
They seem to want to make anything and everything about hillsborough.
Again if it was about Hillsborough then it's a shame but I'm sure the fans can overlook a few bad apples when the club has stood shoulder to shoulder in the Justice campaign over the years.
This is the thing, forgetting Hillsborough you can apply the song to Liverpool and their fans. The problem is Liverpool fans will not budge on their stance that it IS about Hillsborough even though the people singing it say it isn't.
It's interesting though because there were plenty of press articles when United fans sung it, but none about this now. It seems there's a lot of picking and choosing what it means to suit the opinion of the fans or the journalists in question.
I think the reason it's sung is for the reasons you described, the woe is me attitude that is attributed to the club.