Remove Cookies From WordPress Core

You won’t be able to log in to WordPress at all without cookies. It’s not just about remembering if you’re logged in the next day, it’s about remembering if you’re logged in every time you go to a different page in the admin.

Cookies are blocked or not supported by your browser message

The only cookies WordPress adds itself (so not counting plugins) are for logging in and for commenting. You only need the login ones to be able to use the admin, and the comment ones are only relevant if you have comments enabled.

So if your regular users aren’t doing either of those things then you and your site are not using cookies to identify users and have nothing you need to gain consent for.

The situation is obviously different if you’re using analytics, ads, plugins, or anything else that uses cookies, but then that doesn’t have anything to do with WordPress itself.