Changing Site Admin Process is Backwards

The current process for changing the admin email address in the General settings tab seems pretty sketchy to me.

Currently:
1. Change the email address.
2. Confirmation email is sent to the NEW admin.
3. New admin confirms
4. Email sent to OLD admin to inform him or her it was done.

It should be:
1. Change the email address.
2. Confirmation email sent to OLD admin to be sure it’s ok to change this very important information.
3. Old admin confirms it’s ok (or freaks out and starts changing passwords because the site has been hacked, or perhaps another user is trying to kick them off the site).
4. Email is sent to NEW admin to accept the invite.
5. NEW admin accepts new responsibility.
6. Email goes to old admin to let them know the process has been completed.