I'm not sure I really see a point in this. How are you going to forget the server's time zone when it's listed in the timestamps? It doesn't really make sense.
It's for the cases when you are in a different timezone than the server. When the log says "03/Mar/2013 09:24:13 -0800" and it's 13:50 where I am, it takes me a while to understand how old that line is.
Right, the server says its timezone is -0800. You don't know what timezone you are currently in?
I know it's different, meaning that I have to do some basic arithmetics to get the log line age. It also requires me to roll my precious eyes to look at the local time in a system tray. It's just all too tedious.
Some services, like squid have logs with the time in UTC seconds...