The websites are in their right to try to detect adblockers, and the adblockers are equally in their right to avoid detection. If a website really cares, they can try harder.

The goal of an adblocker is not just to block ads, but to block anything that isn't the content the user wishes to see. This includes calls to action, consent banners (despite websites wishing otherwise, the default answer is still "no"), and of course "please disable your adblocker."

If you had a switch you could turn on that makes your browser send a header that states you use an ad blocker, and that the website could reliably use to decide to show you nothing (including no ads, obviously), would you use it?