I personally would not. I completely support the idea of tweeting about crypto news and information. Have you seen the trollbox though? For one, it's like 99% trolling, and for two, the post rate to it is huge. If all messages to the trollbox went to twitter, twitter would probably block btc-e for flooding!
I agree that twitter certainly might block btc-e trollbox automated tweets for flooding. A solution ... to prepend something like \tweet\ to a post in trollbox ... that might only send that post to twitter might be a starting point for a third party, who is logging chat, to then provide a service to tweet trollbox posts for their members, and only when their database trigger to tweet a logged trollbox chat reads the prepend. This would encourage those who were serious about tweeting good information to use that third party service, and of course there could be a limit imposed by the third party on the number of tweets that could be made in some timeframe. Filters could of course be applied to the tweets coming out of the third party's trollbox chat logging service that filtered out any \tweet\TBxLoggedPost for profanity or terms of service violations of twitter.
Certainly some alpha or beta development of an third party application or service might be useful in ASSISTING the trollbox in becoming a better place, and BTC-E devs and admins have made a very great effort since the big parabolic runup and resulting hard correction to remove links, spam, and to ride roughshod on profanity, all caps, etc ...
So a third party service to tweet logged trollbox chats with a prepend that triggers the tweet from the third party service might serve to further tame ... the trolllllzzzzzz
