According to one of the first results I found, the deflection of Thriebeam is about 0.6 m. MTO uses 0.9 m for traditional W-rail, and 0.3 m with a channel. So it's kind of a thin margin that Thriebeam falls in between a standard rail and a fitting it with a channel.
Segment of rail both with and without channel:
http://goo.gl/maps/UusjRThe other advantage of using Thriebeam is the increased surface area, which helps in areas with significant heavy vehicle volumes.
I can't speak for other jurisdictions, for retrofits, MTO will tend to go with the channelized rail. For new build, MTO handles it in their typical overkill fashion:
http://goo.gl/maps/YdQly