1. Right now, you can't evade liability by shutting down a corporation.
2. Law firms will have the technology to act just as quickly as other corporations. If a secretary of state's office can accept a complete corporate formation via API call, then court systems will probably be able to accept case filings similarly.
1. I shut down a LLC about four or five years ago. I definitely didn't think about it at the time but it seems a bit wrong that it can be willed back into existence by a lawsuit. It can't defend itself without any assets to pay lawyers or members so to defend against the lawsuit would require piercing the shield and going after the former members assuming they are still alive (which in this case they all still are).
2. I think you are exactly right with that thought.
That example can even be extended that the tax office can be notified of each transaction the corporation enters and have a ledger of revenue, expenses, and deductions that need to settled before the corporation can be spun down.
One thing that I hadn't thought through is that the only reason to keep a corporation going is the hope of future earnings (or for tax/liability reasons but it all comes back to money). Without that potential it is shut down. Maybe it is a moot point. Why use your own resources to sue a company that has nothing to give you?
I'm not disagreeing with you; just adding to it.