No, at least not in regular survival gameplay I don't believe he should be. Perhaps in hardcore and a newer difficulty mode (very hard) he would be cool to have as a boss battle and be similar in strength to say the Wither, but most players would rather he not exist because they don't want their projects being destroyed by something they'd rather not have to deal with.
Think of the reasons why whitelists exist, whitelists exist mostly to prevent unknown and random people coming into people's Minecraft worlds to destroy their work, or be abusive to players on the server.
If some form of AI were allowed to do this, it wouldn't be any better than having a griefer on your server.
Herobrine even though he is just a rumour, last I remember about how rumours and trolls impersonating him portrayed him as, was some godlike being who existed to go around killing players and destroy their builds, that isn't cool at all.