This is something that so many dev teams have pined for. We wanted this as a dev team so badly when we were all acquired and wanted to move on from the acquiring company. Unfortunately in practice it's a lot harder than it looks. Acquihire is currently the best form of 'group interview' that I know of so far.
Yeah, I imagine it would be hard to do _unless_ the hiring org explicitely wanted to and put effort into figuring out how to make it (outside of acquhire). Honestly I would rather have the individuals pick the people they want to work with over the company picking a team. Not sure about you but I've only wanted to work with part of every team I've been on (or managed for that matter)
> Update: After spending about a year on the BYOT experiment, we’ve decided to sunset it. In short, it didn’t work; we didn’t hire any teams as a result.