Sure, happy to share that kind of event.
I've been using multiple profiles for a while. But here's what was wrong in the extension:

At the time, this was not the LN address assigned to the account I was currently using. But it was the LN address of one of my other accounts in the extension.
But this other account displayed its own LN address when I selected it, as it's supposed to.
I'm not sure how the mix-up happened. But it must have been during the setup.
I wonder if it's because I was connected to the web version with a different account at one point. And some cache kept the data of 1 account while I was using another one.