Saying it was over the top is not insulting you, stop being so sensitive.
I think you're making it a lot more complicated than it needs to be with your 'intricacies of the role'. It's just not that complicated.
Playing in the right area of the pitch is a huge indicator or what number the player is, what are you talking about? It's more about that than anything else. Number 9's are normally great goalscorers but despite Ronaldo being the best goalscorer on the planet you wouldn't call him a number 9, because he isn't playing in the right area of the pitch. It's obviously more than just being in the right position, but its a huge factor and you're really underplaying it.
A number 10 doesn't need to be the playmaker of the team either, they can be but they don't need to be. Quite often you'll have a much deeper playmaker with the number 10 drifting around providing killer passes and assists. You have this idea than a number 10 needs to play the very specific way that you think they should, and if they don't then they cease to be a number 10. It's strange IMO and doesn't need to be that complicated.
Rooney also is the person responsible for the playmaking in attack, the way that more traditional number 10's are. That's the main reason people call him one. He's getting on the ball and making as many passes as number 10's like Oscar, Mata and Cazorla, so unless you think none of those are number 10's you can't claim Rooney isn't one on the basis of not being the 'playmaker'. He is doing it as much as those players.
On the Van Persie quote, he says that they both play as a 9 and a half, because both him and Rooney play both roles.
'I call it a nine and a half because you have two positions, the nine and the 10, and we are both nine and a half.
'We are just helping each other out. We both play behind and a bit higher up.'
He says that they are both 9 and a half's as they both play as the 9 and the 10, or in his words 'we both play behind and higher up.'
That isn't true anymore (if it ever was, I cant remember the start of last season). That article was published last season when they had played two months of football together. If it was true then, it isn't now.
They most definitely don't play the same role, they aren't both 9 and a half's. Van Persie is quite clearly more advanced playing as the 9, with Rooney deeper playing as the 10, or whatever it is you call him. That's not really debateable and you can see it in every game.
It's also backed up by stats with Rooney making around twice the number of passes, and consistently being much deeper on an average position graph. So unless you disagree with me here and think that Rooney and Van Persie are both 9 and a half's I'm not sure why you posted the article.