The main reason we don't allow users to change their email address themselves, and instead require them to have an admin/moderator do it, is because users would otherwise use the tool to get around bans on blocks on duplicate accounts.
For example, currently, if a user is banned from the Review Team, the user could just change their email address on their banned account, and then make a whole new account with their email address. They wouldn't even need two email addresses because they could change the email on the banned account to a made-up invalid one that doesn't even work.