You are not
wrong.
But beware the predatory lawyers who will come after you for ostensible violations of California’s Invasion of Privacy Act, California Penal Code section 630, et seq. (“CIPA”).
One company I work with received multiple arbitration demands (claimed "privacy" damages in excess of $25000 each, helpfully offered to settle for $5000 each!). And this company didn't even set any cookies or run any 3P tracking on their site!
Their (famous-you-know-them, expensive, California-based) lawyers said "yes, we are seeing this more and more. We can fight and win for $200K, or you can pay the $50K of claims outstanding and add a banner to your site".
Their CEO chose the less-expensive option. :-/