How to remove the e-mail address link in PDF

You can use the Redact tool to find email addresses, contrary to what the title of the "Search and Remove Text" button suggests, it only search and marks what it has found, the Remove step is done afterwards and manually.

You would need to check each email link and remove it manually. Use the edit tool to click on and remove the link.

There's no way to do that in Acrobat, maybe unless you use a plugin.

If the links are real link objects it's possible to do it using an external tool that will check the target URL of each link and only remove those that start with "mailto". If the links are added ad-hoc (using the preference shown above), then you can't do it at all, as it's not possible to tell it to only allow certain types of links. It's all or nothing.

You should know that by default Acrobat recognizes all strings containing "@" or "www" or "http", etc. and automatically identifies them as hyperlinks.

So deleting link objects in a document is of little interest because it is a user setting that everyone has to do in the Preferences of their software.