To be honest, I think it's okay to see this so you don't have to guess it at all.
It's not like we have so much info in there. I my opinion it's better to show this so it's handy since it's not necessarily is LOCALHOST as hostname. I see this quote often when there is IP address too even with single server.
In other words, I look in that DB info string only when needed and it doesn't really bother me with what we have there now so Hostname is okay for me...
DA