There is the diceware method to make passwords random and strong to crack. But is it advisable to use this method to make random names for email addresses? That is the concern I have, when a person makes a random email address, they inevitably introduce things with which they can be identified, breaking the previously stated randomness, what ways are there to avoid this?
Use an anonymous email proxy like (https://)addy.io . Create an email address for every site.
Hopefully, I haven’t misunderstood your question.