Is the stabilization fund standardized?
Can it stabilize its price?
Depends.
Stabilization if the price rises above $1 is a smart contract based system by releasing new coins. Releasing new coins causes a higher market cap and this normally would depress the price. If the maximum of 2.5% new coin release a day appears to be not enough, then the CORION foundation can sell as much coins as needed.
If the price drops below $1, then transaction fees will be burned. If the price keeps dropping, only then the stabilization fund will be used to stop the dropping.
I don't get it. Can you ELI5 (explain like i'm 5) how a coin, which is driven by supply and demand on an exchange can, as you say, maintain its $1 value? What if a big whale sells 1000000 million corion coins at $0.0001?
I don't see how that can be done without manipulation. Sounds like a scam if you can't explain it simply.
Extreme sell or buy orders can influence the price. This can happen with all coins on exchanges, also with the other stabilized coins like Tether. Buy realistic, there are not big wales yet and if there will be in the future, then the market cap is also bigger and even then big wales can't influence the price that much as in your example.
Edit:
And yes, you can think of stabilization is manipulation. But is manipulation not a synonym for stabilization in this case, and not a bad thing? The CORION foundation buys CORIONS from sell orders which are below $1 and it costs the foundation BTC. Doesn't look like a scam to me...