No.
MS bought Bungie, canned their new IP because they were screwing up Halo 2 and told them to make Halo which upset the founders.
Microsoft opened Microsoft Vancouver and built them from the ground up, who were originally making a Kinect FPS then it was canned and also did a Flight Simulator thing too I think? Or helped on it. Then became Black Tusk to work on a new IP, now The Coalition to make Gears. Its an entirely Microsoft led studio, theres no money to take themselves out of MS and no-one else has ever done it either.
If you want to work on Gears, you work at TC, if you want to work on non-Gears, you can go elsewhere, possibly even Redmond, where you can work on multiple games with partners which they do a lot.
Microsoft bought Bungie before the first Halo came out, shelved the PC version (it was a PC only title up to that point), and then proceeded to turn them into a Halo only studio.
The reasons why Bungie could buy itself back out were:
1. the studio had a strong prior track record and brought it's own fanbase as both Marathon and Myth were well respected games.
2. the founders of Bungie got outright paid with the original buyout and had very lucrative compensation packages for their duration with MS. They mostly all stuck around and as a result had a wealthy core who could afford a buyout.
3. the vast majority of the talent was loyal to the founders of Bungie, not MS, were bored of Halo, and were therefore all willing to move on should Jones, Seropian, etc. move on and open a new startup.
As a result for MS the best option was to let them go. Well, alternatively they could have let them make a new IP but clearly that wasn't what they wanted.
Also, MS Vancouver/Black Tusk/The Coalition has never completed a project in nearly a decade now. So why do we care that they've changed their name yet again? It isn't like Black Tusk really existed from a consumer standpoint.
Nobody knows!
