The argument about enjoyment is irrelevant. In fact, enjoyment gives the strike more power and heft because it's a sacrifice for the woman. She's not doing it to punish men, she's sacrificing something she enjoys because she believes so strongly in a better woeld for herself, her sisters, and her daughters and granddaughters.
Look at some comparative analogies.
I like driving. There's nothing better than driving downnyhe highway in my jeep with my hound, wind ripping my hair all about, sun on my face. It's pure heaven.
If I decide to set aside driving to protest the exploitation of the fossil fuel industry and I've made it plain what I'm pissed about, who's going to think I did it to punish my hound? No doubt, the hound is going to miss those trips too, but it's not a punishment. Would anyone who matters be foolish enough to think driving a Jeep was a labor I didn't really like? They saw that smile on my face when I'm whipping through the parking lot, cornering on a dime. They see my Jeep paraphernalia I have as part of my identity. The tshirts, keychains, coffee mug.
Hell no. They're going to know I must be really concerned about what the fossil fuels I distry is doing because they know how much I LOVE what I gave up. It's been obvious to everyone all along.
If I'm unhappy about worker exploitation dowb at the local dairy company and decide to stand with those workers while they strike, does anyone automatically jump to "well, she just doesn't like milk or milk products so it's no skin off her nose". Uh. No. That would definitely interfere with my latté habit and my pizza habit. And once again, the poor hound and also my beloved Urchling are making that sacrifice too. But we can sacrifice a few weeks or months of things we love because things we love shouldn't be the cause of someone else's misery. Those workers are part of our community too. There might come a time when we need them and hope they'll stand with us too. If the community lets that company get away with that bullshit, then ither companies will start doing it too. What you normalize for someone else, will eventually show up on your own doorstep.
As we can easily see, this notion that we need to prove our enjoyment of sex when compared against other things shows that the argument is nothing but a distraction and a tactic to convince women against it because it is well known how effective strikes are.
They're effective because of the sacrifice, not because of some warped notion of obligation.