I don't know if it has been brought up already on this community forum but I've just hung up with support about this. So apparently the password protection layer added in logmein is account specific, which is here admin account.
This is not a good way of thinking.
This password protection layer is supposed to protect the host globally from outsiders that would have credentials to any accounts on the host and not this added protection layer.
The simple demonstration of that would be, I'm connecting with the credentials of a user account on the host, it bypass the added protection layer, then from inside the user account, I can run a python script or anything like that to actually guess the admin password and that's it. Then I can actually do whatever I want through the user account with admin privileges. Then what would be the purpose of an added protection layer.