This season City have introduced an official family stand, where they are encouraging fans to watch the game and bring their kids along. Now, there's nothing forcing you to sit in the Family stand, you can bring your kids with you and sit wherever you like. However, what you have to realise is that once you leave the safe confines of the family stand the stadium, and the fans are, by definition, not family friendly. They will stand up and make it difficult for kids to see, they will swear, they will be "boisterous", they will have varying amounts of alcohol in their system, and they will not be diluting or taming their behaviour to accommodate children being near them as, and rightly so, there's a family stand for you to use, and one which always seems to have empty seats in it.
Now, I don't think anyone should be standing on their seat, for whatever reason, so looking at the specifics of this case, TFS has obviously been acting like a bit of a tool and, due to balancing precariously on his seat, and being a little worse for wear, he's fallen over. Clearly an apology was required and, it would seem, one was forthcoming. It's your choice whether you accept it or not, but it's also TFS's choice how he reacts to you refusing his apology.
On a personal note, I don't like kids being at the game near me as, whether I like it or not, I feel a little guilty and self conscious about letting myself go and swearing rabidly at yet another shocking refereeing decision. I don't feel I can really react in the way I'd like. However, if you consider having a pop at me for swearing around your child then you should be prepared for me to explain to you, in not too polite a manner, exactly which area of the stadium you should be in if you're not happy about the language being used.
