Bad news for you: when you use Messenger without a Facebook account, Facebook still makes a Facebook account for you. It's just invisible to you and
maybe they don't want you to have the impression that it is, indeed, just a Facebook account.
I could trigger Messenger to log in to your shadow Facebook account. It will work mostly like a regular account with the exception you (mostly) can't interact with your friends. I reported it as a security bug last year. Somehow after I reported it, the app doesn't do it anymore. Fb security took another 6 months to discard it as a security bug.
I was too disappointed by how much they cared, so I don't even bother to make a blog post about that. I trust both Facebook and Facebook security less after working with them. I don't have a Messenger only account anymore (but then, my Messenger-only account was never deleted). But do they care? Probably not. Do I care? Maybe - but what can I do about it?
Here is the draft that I wrote up but didn't publish about the experience: https://docs.google.com/document/d/e/2PACX-1vSa-LjM5IzyTWJuD...