Here's a thought experiment for you:

1) Starting condition: escrow fund contains $4T worth of bitcoins, $2T of that is from hyperbitcoin speculators
2) Satoshi sells 10K bitcoins because he wants to buy Australia, instantly driving down bitcoin prices by 10%
3) Protocol: "Escrow fund is 10% below target. Time to steal some hyperbitcoins from the speculators. YOINK!"
4) Speculators: *Jump out the window*
5) Protocol: "Now I'll sell these hyperbitcoins to new speculators. KA-CHING!"
6) New Speculators: Yay!
7) Ending condition: hyperbitcoin prices down some, escrow fund is back to target value, somebody cleans dead speculators off the pavement, new speculators can get rich when bitcoin prices come back

Now here's the important bit, which I just realized: What happens to bitcoin prices when the protocol sells a bunch of hyperbitcoins which it stole from existing speculators? Let's see, we removed a bunch of bitcoins from circulation and put them in the escrow fund. Less bitcoin supply = higher bitcoin prices.

Did the new bitcoin protocol just self-stabilize the price of bitcoins? Did we just create a bitcoin variant that resists price changes??

I'm not saying that bitcoin prices would be immobile, but that they would be inherently less volatile, because hyperbitcoin holders would be absorbing that volatility.