Is there a solution for parametric caching in Wordpress?

Question

PHP

Hello.
Are there WordPress plugins that implement parametric caching?
By parametric caching, I mean extracting from the cache / saving content to the cache not only by url, but also by other parameters, such as cookies.
I'll give you an example. There is a /about page that displays the title. When a person logged in, his e-mail appeared in the header. So I want the plugin to be able to cache the page for both anonymous and authorized users. And the content was retrieved from the cache not only by the url (/about), but by the key "url + user_cookie" (/about_wordpress_logged_in_nlvdajsvba).