Bottom-line
There is no specific regulatory answer that I can find for your question.
Discussion
I personally know of no reason why a leader cannot inspect a profile. The Leader can only determine what a Soldier can and cannot do by examining the profile. Therefore, any leader in the chain of command or leader in charge of the Soldier for example: on a detail would have the authority to check the profile. Just my opinion
Now to the regulations. They are not specific but do speak about commanders having authority. This by extension can in my opinion be extended to the chain of command and leaders in charge of Soldiers. This is my interruption.