The two do not go hand in hand as you put it. You make it seem as if people 'have' to sing a players name to prove their loyalty to the player, which is complete tosh.
This will probably bore the pants off you, but I come from an age where I still expect certain standards from a footballer and anyone coming into the club I love should be reasonably expected to conform to some of these standards. Adebayor fails to meet these standards in my opinion, both before his Spurs days and now during his Spurs days.
I don't have much time for the bloke, I don't feel I should have to sing his name at games. This doesn't make me any less of a fan than anyone else, it merely means I am not one of the sycophantic many who gave him dogs abuse at the Lane a few years ago when he played for other teams, but now have jumped over the fence and sing his praises.
My conscience is clear, I went on 606 when Harry signed him and regsitered my disgust then, and I'll continue sticking to my principles thank you.