It sounds cliché but there is nobody like you. We all have unique experiences (life + professional), hobbies, knowledge no one else has or at least not in that particular combination. That’s your « unfair advantage » as some call it and you absolutely can use it to your advantage.
The choice is yours.
For my second real job I did not feel I was an "extremely strong candidate", just a mildly above-average one. I crushed the coding portion of the interview, but that balanced against my unspectacular CV and lack of experience in the company's field. I read the linked article, applied the principles as best I could: I got £10k more than what they offered first.
Mind you, this was during peak ZIRP so I was probably playing on easy mode and didn't know it.
(Note that if is one of those crazy periods, they still won’t quibble over the salary, but for an entirely different reason!)