If all men had a guaranteed sex partner that they could have sex with whenever they wanted, would male neediness towards women in the dating market drastically collapse?

And by sex partner I don‘t mean a prostitute, but a person that desires to have sex with the man and I am not speaking about a sex partner in a LTR but entirely casual.

This is a thought I had because I‘ve seen material from women online where they stated men need or want women more so than the other way around, but as politically incorrect as it sounds, if men had access to sex pretty much any time they wanted with a woman that desires to have sex with them, men would probably be significantly less interested in a LTR, men chasing women would drastically decrease and men would operate on high standards in regards to whether or not they want to date or have a relationship with a woman, instead of making concessions to at least have any sexual prospects.

That‘s just my prognosis. Thoughts?