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?
There is anonymity and pseudonymity.
Do you need your opsec to be resistant to state-level actors (oppressive regime, censorship, illegal activities)? Well then you need to make sure you don’t introduce anything that will deanonomize you.
Are you trying to be resistant to mass data collection efforts used for profit? Being on the pseudonymity spectrum is a good step.
Dealing with the latter is like dealing with a bully. Make it not worth their time. They just want to put you in bucket X so they can estimate the most likely way to influence you for reason Y. Pseudonymity is about having multiple aliases that get put into different buckets so their privacy invasive efforts are less effective.