Site owners should not have full control over what users do. Their wishes do not apply past certain boundaries.

For a non-AI example I run into occasionally, any wish to stop time-shifting should not be relevant to what I choose to do as a media consumer.

There actually is a well defined demarcation point where the site owners wishes do apply. It's called... A demarc point! Everything that happens past this point is by definition entirely in the control of the admin. Which includes closing the door on whoever they wish. This is a technical reality, not something you can effect with opinions or wanting things more than other people want other things. It might seem contradictory but this is actually the main thing that makes the internet as free as it is.