Bitcoin is the "freedom coin" which allows anyone to use it regardless of their background or the amount or the way they are using it. That's the beauty of it.
Whether it is individuals or institutions or whether it is buying $1 or $1 billion won't change the nature of bitcoin.
If somehow they manage to stabilize volatility, then it is quite possible
They can't because they aren't participating in bitcoin market (ie. centralized bitcoin exchanges) and that is where the price and its volatility is decided.