As a woman, I can have sex without having an orgasm and feel just as satisfied and just as close to my partner. After all, women do this all the time.
But most men don't.
Actually women as a monolithic collective, don't do this all of the time. Of course some may do this all of the time or some of the time, yet it is a misnomer to claim that your experience is universal.
Your claim regarding men is equally flawed.
Funnily enough you're not like any woman I have ever shared sex with. In my experience, most of the time when a woman hasn't had an orgasm (especially when one has been close) while having sex, she often feels disappointed and or somewhat frustrated by the experience.
None of my sexual partners have ever expressed equal satisfaction on the occasions they don't get to have an orgasm, in fact the norm has been for them to admit disappointment when it happens.
For example my wife and I are fine with not getting an orgasm, if we have had to stop having sex because someone turns up at our door. Cause you know, other things...
Whereas at other times without interruption, my wife and I can be very frustrated when we don't orgasm during sex, especially when either of us are particularly close to having an orgasm.
I also sometimes edge, while having penetrative sex with my wife. So that I can ensure I can sustain the right stimulation for her to usually orgasm through penetration, and so that she can sometimes have more orgasms before I do.
Yet there have been times when I have done this, to the point that I lose it. As in I still have an erection, yet I can't tip over to orgasm, because I have become over stimulated. So when that happens she gets an orgasm, while to my frustration I don't.
Likewise I have also sometimes done the same thing to my wife, where I get her close to orgasm, then back off, then work her up again and then back off and maybe do it again before working her to a finish. Yet there have been some occasions doing that, when she has frustratingly lost that approaching orgasm through overstimulation as well.
Then there are the rare occasions when she or I alternately just haven't get there at all for a myriad of reasons. When that happens and we've been very close, we both find that particularly frustrating. Whereas when we haven't been that close, we haven't minded at all.
Orgasm or otherwise my wife and I both enjoy the sex we share. That said on the very rare occasion through close to 21 years of sharing sex, that the sex has been flat, we've both had no problem telling each other it was lame.