It was also a good move for Microsoft, because being able to play all your 360 games on your brand new Xbox One is a good selling point, no matter how much people want to make it seem it doesn't really matter. If you own a PS3/PS4 and only care about a handful of Microsoft exclusives on the 360 and Xbox One combined, with games I'm interested in being Lost Odyssey and Shadow Complex, then it's not that much of a selling point, but to the people interested in the Halo series, Gears of War, Forza, Fable, etc and want to still play those games, then it's a great selling point to get new people over to the next gen consoles. That's in addition to all the 360 titles, multiconsole included, also being able to take advantage of the Xbox One's capture features without requiring a capture card or external device.
I applaud Microsoft though, because now with the inclusion of backwards compatibility, which so far is limited, it may very well cut down on all third party remasters. It was fine with PS2 remasters because the games were never in HD and never in widescreen. But now we're going from HD to HD and the only major change in many of the games is going from 720p to 1080p and sometimes 60fps. Going from 720p to 1080p is noticeable, but it's marginal in comparison to the prior jump.
Instead of remasters of PS360 games to PS4 and Xbox One, I'd like to see remakes like what was done with Halo 2 and is going to be done with Final Fantasy 7. True graphical enhancement, not marginal jumps that most people will barely recognize the changes.