The danger that's concerning people (rightly or wrongly) isn't that LLMs are going to be an intermediary to your website. It's that they'll be the only thing reading it. No one will ever read your post or know what you wrote. The only consumers will be LLMs, they'll train on a version that strips out you as the author (probably more due to expedience than any sort of malice; it's not like you're famous, are you?), and your idea might get embedded into a set of model weights somewhere. No human will see a byte of it.

Are you actually saying you'd be OK with that?

Not the OP, but I suspect no one goes to my website anyway. (I write nonetheless.)

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