A nuance here is that China's nationality laws forbid dual-citizenship and border officials have been (anecdotally) cracking down on it in recent years. There are a lot of grey areas in enforcement, and I'm not sure how it would play out for the rich and powerful, but the general idea is that once you get a second passport, the first one ceases to exist, along with one's hukou, right to property and capital, etc.
Thus, as with other countries that don't allow dual citizenship (e.g., Japan, India, Austria, Malaysia, Singapore) getting another nationality is probably a stronger exit signal.
Of course, most schemes start by giving permanent residency, which is different and sort of the best of both worlds.