I wouldn't say it's a job "like any other". If that was the case, it wouldn't be such a touchy topic.
"Love and sex aren't intertwined things"? Come on. It's blatantly untrue. They don't necessarily come in pair, but they are obviously linked in most cases.
And your statement, "people aren't properties to be claimed or owned" is contradictory with the concept of buying and selling sex. You can try to spin that you're selling "sexual services" and not your body, but at the end of the day, it's still selling your body.
The thing with prostitution, or sex work, is that it can easily turn into exploitation or auto-destruction. There is a fine line between "I do it because I want" and "It's hurting me, but I do it anyway because (reasons)".
It's a touchy subject because people like you have such wild misconceptions about it.
Love and sex being intertwined is a common perception pushed by a media that's largely engrossed with things like the purity of virginity, monogamy, and the treatment of sex as a somehow dirty thing you should only ever share with your partner. You can love someone without wanting to have sex with them, you can have sex with someone without loving them.
The thing about selling oneself is the fact that it should be your choice. It is your body to do with as you wish, and if you want to commodify your talents between the sheets that's your choice. It's not the trading of a body, but of a service that, like any physical labor job, just happens to use your body.
The harms and exploitations of sex work are perpetuated by the negative misconceptions and persecution of sex work and sex workers. Education and legalization lay the groundwork for protections and safety in the job. A sex workers who is in trouble would be more likely to go for help if she did not believe that she would be considered a criminal for her work, don't you think?