I suspect for those Hadiths of Aisha to be recorded the prophet must have suffered from some urinary track infection and was admonished by her to wash more often. One can see the Hadiths are not only about the prophet but it is also about his toilet training.
What in the bloody hell are you talking about?
The Hadiths you posted are explaining purification rituals necessary for offering prayer after using the bathroom and sexual activity. Your agenda is blinding you from reality.