No, I don't see that that would be better.
Of course I cannot go to see an individual sports therapist at any time I want. A man cannot access an individual prostitute any-time he wants either - he will be able to access a prostitute however (as long as he has money in his pocket).
I don't think women should be forced to be careful about how/when they have sex. I think it should be illegal to coerce someone to consenting to sex either by financial or other means. I wish to put the responsibility firmly on the punters and the pimps - not on the women.
I do not wish to oppress anybody in their private consenting sex lives.
Actually I think most men have compartments in their brains for women - one for wife and girlfriend material and another for the sex class AKA prostitutes, lap-dancers, women in porn, etc. I think many men are able to differentiate between the women they are entitled to buy access to and the women they actually have to have a relationship with.
However, that said, the fact remains that society condones the message that X percent of women will be made available for any man who wishes to buy access to women's sexual organs.
Thereby society accepts that men are entitled to buy this access to women, and that the demand this entitlement generates, is acceptable. Because money is involved there are always going to be people who will supply this demand. Some of these people will be happy hookers who control their own money. Some of these people will be pimps who coerce, beat, drug, rape, emotionally blackmail and threaten women whilst controlling the money exchanged. Some of these people will be traffickers, some of these people will be sexual predators who prey on victims of sexual abuse, homeless women, teenage runaways, drug addicts, poor women - in brief any vulnerable female members of society. Some of these people will be women who are unable to find another way to feed their kids or themselves.
In a civilised society women should not have to be penetrated by strangers in order to put food on their table. In a civilised society it should not be acceptable for men to penetrate women just because they want to, and can afford to buy women's consent (or pay a pimp to force her consent).
Prostitution, by its very nature, markets women as objects (as do porn and lapdancing).
A man who walks into a brothel, or down a street in a red light district, can pick and choose the 'version' of woman he wants - the women are objectified by the very act of society accepting prostitution. The woman generally has no choice in this - the man actively contributes to this. Society condones it.
As for the rest, well, it's just luck isn't it who ends up in the wives and girlfriends compartment and who ends up in the sex class (if you are a woman that is)? As a feminist I cannot support such male entitlement and female oppression.