I think that's less likely to happen with WebRTC. But for workplaces that don't otherwise use it? Maybe.
Which mess did it cause?
Enterprise-IT people tend to shutdown first and ask questions later, to cover their ass (and in their shoes I'd probably do the same). If it becomes trivial to torrent via mainstream browsers, I expect they will lock down whichever feature is responsible or apply massive pressure on vendors to remove the feature.
You can't really forbid SSH (on paper only you can) since you can create SSH tunnels via virtually any port.
Worst case we could disallow WebRTC via DPI and whitelist it for category conferencing.
Whereas IMs are an accepted part of business processes (i.e. "serious").
There was a very long period when IMs were not acceptable and actively blocked, especially at financial institutions that have a legal obligation to log and retain all internal communication for X years. I saw this at many different firms for many years.
That changed. perhaps torrent will, too. Nah, probably not :)
https://sites.google.com/a/chromium.org/dev/Home/chromium-se...
WebRTC isn't going anywhere. If you have a sales department, you can't block it.