Your attempts to impose your own definition on the world are silly.
Bluntly, you are using the word wrongly. You are wrong.
“Promiscuous woman” == “slut”
That’s the definition of the word. That’s what it means.
And no, I don’t “have to admit” anything. You’re wrong.
OK. You win. But, I’m curious. If you insist on ‘slut’ as a negative connotation in regards to a promiscuous woman, what sort of connotation do you place on a promiscuous man?