The concern is that the sellers can ratchet up their asking price if a deep pocketed buyer is known. Walt Disney used a bunch of shell companies to buy up land in Florida. If property owners knew he was buying, they'd ask for much more.
But the price should be ratchet up if the demand is there to support it.
I think it's equal parts "who" and "how much".
If Walt Disney wants to buy a bunch of random houses in Florida I think most people would sell them for market price. But if they all know that their specific house is an essential part of a multi-billion dollar plan, you're liable to have holdouts.