Jehan,
Those links only serve to "uniquely verify" to login to an account
without a password. Those links
do not allow change of password. Here is the screen I get on an attempt to change password once I'm authenticated through those links.
I do not have my old password. All attempts to change my existing password fail. That is the reason I need a password reset.
Unique Authentication is not the same as a password reset or change.
If someone there would test, you would see. This is a perpetual bug mentioned in your groups and other forums. You spend a lot of time addressing the issue because it is not fixed.