All editors are equal. No one is more important than anyone else. No one's opinion matters more than anyone else's. No one gets any special treatment, including administrators.
No Special Treatment
While in an ideal world we'd like to be able to take into consideration people's circumstances, it is far too easy to lie about one's circumstances in an attempt to circumvent the rules or gain attention. As such, illnesses, disabilities and other personal circumstances cannot be taken into consideration in the event of vandalism, UTP violations or other similar actions that would otherwise merit a ban.
"It was my brother/sister/friend"
It's easy to blame your sibling or friend for vandalism or other misbehaviour coming from your account. However, not only can this not be proven, it doesn't detract the fact that your IP address is clearly being a problem. Also if this is coming from a registered account, then the account will be deemed as insecure and will be blocked for security reasons. Therefore, unblock requests with the reasoning that it was a sibling/friend at fault will not be approved.