This is just a pretty standard private investment setup, that just happens to own a single stock.
Even if owning the single stock was a problem - and I don't think it is - working around it would be trivial. They could invest small amounts in a number of very low value stocks or in very stable stocks. Both those strategies would meet any hypothetical "diversification requirement" (which I don't think exists) without materially changing their exposure to Facebook.
What you describe here sounds like dark pools[1].
The business model, at least in the 1920's, was to get customers to take big positions on margin, then to manipulate the actual stock (on an actual exchange) to the point that customers were wiped out. If the manipulation cost less than what the customers put up, the bucket shop would win.
People occasionally accuse forex companies of doing something similar, but the market is probably too deep for any retail-facing forex company to successfully manipulate prices like this.
Reminisces of a Stock Market Operator talks about bucket shops--and trading against them--in detail.
You just described an index fund (albeit with only one stock in the index).
Bucket shops are nothing like this - bucket shops are casinos where the source of random numbers is the stock market, but no shares are ever traded.
I don't think so - we're not talking commodities here, but equity. Every index fund I've seen or traded had multiple underlying assets, even if some of them were derivatives...
BTW, stock market must be pretty bad random number generator...
Most, if not all of low end forex (at least the more honest ones spell it out in fine print) is basically a bucket shop.
You are buying(betting) against the house, that is all.