If you can take their word on it, which let’s be honest is something kinda weird to lie about, then these three examples all happened relatively quickly in a small spam of time and represent a very unusual trend for the time.
Meanwhile there are examples of players that either have not responded to their bans being overturned (suggesting they were not) as well as examples of players being told their ban was justified.
So while these cases are exceptions to the rule, they’re still important outliers to suggest that while the process is a lengthy one it will either exonerate the player or reiterate the punishment.