So much crap has piled up between these posts and now, I'm just going to ignore everything between and go back to these:
Men and women lie equally to gain access to the bodies of each other. Lying about what one plans to do with the proceeds, birth control status, etc., is entirely one sided, even if not as common as lying for access.
I think it's pretty clear we all can agree men and women will equally lie, both verbally and nonverbally, to get sex with particular members of the opposite sex they find desirable - regardless of whether only for pleasure or not. So I think we can lay that part to rest. Now, why the latter sentence is a contentious claim is actually beyond me.
P:Men and women lie equally regarding that thing which is equally attainable (status, appearance, interests, commitment, etc)
P:Women lie exclusively about additional things men couldn't possibly lie about.
C: Women lie more than men.
It shouldn't matter, but I'll point out anyway, that no fault divorce/child support create an extreme conflict of interest for women that simply isn't present for men as it relates to dishonesty regarding children.
Lying about how one will be there to support a woman and be there for a child is entirely one-sided and quite common too, and one of the most common ways to gain long-term access to sex without an actual committed relationship on the part of the man.
"Long term access to sex" without "an actual committed relationship". The only thing I can think of that fits into the situational gap you created is FWB. Never heard of a FWB situation that was initiated with "Hey, lets have regular NSA sex and maybe I'll want to get you pregnant one day and pay out lots of money for 26 years". Certainly not going to work getting short term access. "Hey, wanna make a baby, baby?" Is probably the worst pickup line ever.