That wouldn't fulfil 90% of the purpose of keeping logs, for me at least. Not everyone has the same requirements as you - I for one very rarely bother with OTR, but I have to search my chat logs for something on an almost daily basis. I use XMPP on my work PC, on my laptop and desktop at home, and on my phone. Splitting the logs across all those devices would make them literally useless.
Besides, anyone who is tech savvy enough to mess with public key encryption is going to be using OTR anyway, making server side logs useless.
But having the history is still useful ("remember that article I've sent you yesterday").
Some examples of comments in a private chat that might at first appear like they don't need encrypting, but might come back and bite you in the arse if they ever get published:
"God work is boring today. Need to update my CV/Resume"
"Bob was a bit of an idiot last night wasn't he"
"Thinking of skiving off work tomorrow."
"The wife has been nagging at me all afternoon. Fancy a pint later?"