“Why Blackstone rather than a bulge-bracket bank?”
What they test. Whether you actually understand the difference between advising and investing.
Weak answer. The brokerage-model confusion: describing Blackstone as a place to 'work on the biggest deals with the best clients,' which is a sell-side answer.
Strong answer. The buy-and-build deployment answer: you want to deploy capital as an owner, hold assets through a value-creation plan and be judged on returns, and you can name a Blackstone deal that shows that model working.