Did character flaw stop Arsenal pursuing striker transfer?

I am only trying to read between the lines here and could be completely wrong about the reasons for the Arsenal manager not even making an offer top Real Madrid this summer for their France international striker Karim Benzema, despite there having been plenty of hints about the possible transfer of the star to Arsenal.

It could well be just as we were told in the end, that Benzema never considered leaving, Madrid never considered selling and Wenger felt there was no point in trying. But we all know that the full story is rarely seen in the football media and there is definitely another way to interpret things.

Arsene Wenger did say that he was a big admirer of Benzema´s abilities but he also spoke this summer about the team spirit in the dressing room was more important than any individual player, so was he perhaps alluding to the, apparently, slightly murky side of Benzema´s character?

I´m sure that you have seen the recent scandal involving him and some friends, his team mate Mathieu Valbuena and an alleged blackmail attempt over a sex tape. While we do not know the ins and outs (ooh err missus) of the case or whether Benzema will be found guilty of anything, he has been arrested and charged and this is hardly the situation that Wenger would welcome from one of his players.

It is not the first legal trouble that Benzema has been involved in either, and even though he was eventually cleared along with Franck Ribery of soliciting a minor, it does suggest that he might not be the most savoury of characters and might have had a disruptive effect on the Arsenal squad.

Do you think there is anything to this theory or was it just the prof being tight with the cash again?