For pre-Android 4.3, if a tablet (or any device) has root, will all its user accounts have root access?

For pre-Android 4.3, if a tablet (or any device) has root, will all its
user accounts have root access?

This question is for Android 4.2 and below.
If a tablet (or any applicable Android device) has root, will all user
accounts have root access? Will the SuperUser app also be installed for
all users?
Also, would it be possible to disable root access for one of those users?
I no longer have a tablet, so I can't confirm this behavior myself.