Having worked in the OilPatch for 7 years myself, I'll back up what Dnil is saying 110%.
I've worked with Halli-bortion on at least 300 different locations. If you are going to have a company take control of a well that has lost containment, the only people I would trust to do so on such a large scale is them. Of course, this is after the fire is out, and the well containment crew have it shut in properly. Any acid wash, formation fracturing, and cementing needs to be done 110% correctly, and Halli will come closer to that than any others.
They aren't perfect, I've watched from my shack where my company (downwind electronic surveillance) had systems set up, as the Men In Red (halli) screwed the pooch, but it'll happen to anyone.
Again, there are few other companies with the experience and infrastructure to take this project on.