You missed a few points, so I was not clear enough. I give it another try.
1) Pleasure marriage is something in Islam. And Muhammad has something to do with Islam, and Aisha also, and he had pleasure with her. So clearly the 2 are related, so this can't be just dismissed. The Prophet's Mark is all over "Pleasure Marriage".
2) You mentioned the link. Part below is from this wiki page, I copied, which gives the preconditions of such marriage. Read the last line, esp. the part in brackets (you must have misread this part). It clearly states that
the girl can be a young virgin (as long as the father gives consent). People writing Law verses always put loopholes in it.
And coincidentally this is exactly as what happened between Muhammad and Aisha. Muhammad wanted her. Father refused first. Muhammad told him he had a vision about this marriage, and then father agreed.
So, it's exactly the opposite as what you said. Muhammad/Aisha is super relavant when talking about "Pleasure Marriage"
Nikah mut'ah - Wikipedia