General network-wide suspensions for only a year usually are accompanied by a message from a staff member on a random site or a direct email to explain why.
Ten-year suspensions are usually reserved for people who rise to the level of "active troll" - they've generally repeatedly ignored messages or emails, or responded to them with very inappropriate and aggressive messages that indicate they have a desire to continue with their behavior. They are also sometimes used to lock repeated-use sock-puppet accounts so they can't keep being recreated with an association bonus. Sending them another message about it is entirely pointless. It would just be extremely repetitive information.
If there was any chance of a 10-year suspension being revoked, we wouldn't have issued the 10-year suspension in the first place.