Yes, that would be fine. I write primarily communicate ideas, not for credit or fame.
Empirically, however, LLMs don't strip out the author: the big models know a lot about what I've written even with search disabled. Ex: https://claude.ai/share/8cbcdf88-a360-421a-8c06-ae7b7992e866
Sure they know about you if you ask, but generally they won't credit you if they cite an idea from their latent space that came from you.
That's fine! Humans who read my blog typically won't credit me if I help inspire them either.
(I was pointing out that "they'll train on a version that strips out you as the author" seems to be is incorrect about how training works)