They don't currently but they will have to display ads eventually like Twitter, Facebook, Pinterest, Tumbler, and the like because a business can't run on VC fumes forever with stockholders.
And to iterate a bit on my last point ... there are spaces where advertising is inherently valuable, where you have a captive or semi-captive audience ... I don't see messaging (at least in the mobile space) as particularly banner-friendly.
Now obviously I wish I knew how to target the mobile messaging market; I don't. But it seems like you could see mass migrations based almost exclusively on presentation the way MySpace rapidly lost to Facebook.
Jesus they're going to have Microsoft send me a movie ad of their next flop.
I don't see why they didn't just take FB's money at what has to be their peak relevance. The only advertising opportunity I really see is unsolicited snaps. But I don't see users liking that.