Short answer: Yes, even if you hate Twitter.
Here's why, by way of a short case study.
Last year I was part of a three-presenter speaking panel at a webinar hosted by a very large international association.
To be fair, I happen to find Twitter quite handy for my business and I'm a little biased...I'm sure it's not for everyone. But this was a webinar where we were talking about web-enabled communication.
When I asked about using Twitter, the "no" I got was in the form of, "But what if someone says something negative?"
Ironically, part of the way through the first of the three mini-presentations, the other speaker who wasn't speaking messaged me to take a look at Twitter.
Sure enough, someone in the audience audience made up their own hashtag and a chorus of others joined in the backchannel conversation.
I don't think we can put the genie back in the bottle. Even if you hate Twitter, you could be using it to enhance how you engage your audience.