We’ve seen Jack Sparrow in relationships and flirt with women in the past. This includes one of the main character, Elizabeth. However, he’s very obviously willing to leave them if it means he gets to sail his ship. He even tells Elizabeth “my first and only love is the sea”. (Yes, I know she was disguised as a dude. But reminder that he also left behind two women in At World’s End to retrieve his once again lost ship. Dude loves his ship.)

Also, when the Will and Elizabeth were shown to be kissing and loving, he immediately says aloud that he found it disgusting, despite having been with women in the past.

Some of you might bring up, ‘but didn’t he kiss Elizabeth?’ Or ‘you just said that he flirts’.

First of all, aromantics will kiss other people if they want to.

Second, I headcannon as aromantic, NOT asexual. So, flirting and kissing/making out wouldn’t be unusual.