I fail to see how this contributes to inceldom tbh. How would incels being pathetic lead to more incels?
It's the liberal sexual culture that leads to more incels. The pathetic part is just a sad consequence of it.
Women in their natural, unrestrained environment will always pick some top small percentage of men, leaving the rest high and dry. People, like electricity, also follow the path of least resistance, which means that you'll have a surplus of picky women who have to provide for themselves, and easiest, most profitable way to do that is to commodify their sexuality. For every whore out there eating by selling her body (whether that's on the streets, at a brothel, or on OnlyWhores), there's one less wife or girlfriend that pairs up with a regular hard-working man who would start a family.
I will note the same applied to betabuxxers. Betabuxxing a foid who's ridden the cock carousel is fundamentally the same quid pro quo.
I think, again, this is a problem of the current culture. In actual patriarchies (not the West), women's sexuality is kept on a tight leash, through harsh societal punishment (ostracization, family disownment, reputation ruination etc.). Men in true patriarchies simply do not tolerate their daughters, sisters, and other members of their family acting in an openly sexual manner.
You don't even have to look to other countries. Just look backwards in time to North America and Europe. Before feminism and women's sexual liberation, promiscuity was sternly castigated by others around you. A woman who was single later in life was suspected of being a hussy and mistrusted. Prostitution and other sexual degeneracy was basically at a trough, compared to now.
Apropos your solution, what exactly is it supposed to solve? It might bring up birth rates, sure, but seeing as you abjure sex with escorts, I'm thinking you might agree with me that sex is of no personal value if your sexual partner doesn't desire you, in which case your solution wouldn't solve the fundamental problem -- being undesired. To elaborate on my position, I don't get wanting to have sex with a lady of the night (even if someone else would pay for me).
You're correct, it wouldn't solve the problem of desirability, since attraction is not negotiable (she either feels it instinctually or doesn't). It would, however, decrease rates of inceldom and increase more stable families.
If you want to fuck a whore, you should be free to do so. I simply don't think having prostitution being normalized in a society is healthy for it. Less promiscuity and more family units, however, is.