How many Mac owners do you think run their admin account as the personal account. I bet more than a few don't bother with the distinction between user and admin.
There's no advantage really, though, since the gksu style authentication popup system when you need admin privileges is very painless. I too doubt if many people run their Macs as root.
$ sudo passwd
Changing password for root.
New password:
Retype new password:
passwd: Unable to change the password for record root. Credential verification failed because account is disabled.
$
So there you have it: you couldn't have done it this way.