That they do. It is a triumph, no doubt a very difficult thing to work out between the three of them and then proceed to execute, which they do with the drive the music demands.
Honestly, as nicely done and as difficult as the piano part was and is, I found myself listening more to the bass and drum parts especially closely. The two-piano versions of the "Rites" as I believe transcribed by Stravinsky himself gives you the jolt of a piano-only rendition and it has been available in recorded form for some time. So this Bad Plus version does not (for me anyway) really pack the wallop-shock of the piano sound. However, there is nothing as obvious about what the bass and drum parts might be. The point of course is how the trio works together. The rhythm section rises to the occasion by coming up with some very excellent parts. Reid Anderson's bass part alone is a treat to follow.
So that's why I put this disk on the "Guitar and Bass Review" blog.
Should a "jazz" group be permitted to take such liberties? I don't imagine such a question makes any sense anymore. Of course! Is it jazz? Who cares what it is! It may not be jazz. It does not matter because the hearing is the confirmation that this is valid, and in fact exciting. They do full justice to the Stravinsky work, though it is a very different experience of course as a jazz trio piece. Improvisation is not the thing here. Stravinsky's music is. I can't see any reason not to go and grab a copy, if you are so inclined.
The Bad Plus do the very difficult and make it seem like the very natural thing to do! That is an achievement. They are musical heavyweights. Bravo.