When two things compete in the same category ("store of value"), they are either equal, or one is worse.
Nope. With enough experience you see that usually there aren't better/worse things - only trade-offs. Things are not one-dimensional as you suggest.
If they exist, blockchains and lightning channels are a worse place to do that than other systems like sql databases
What about people that are blocked from banking system? Uncensorability is the main feature of bitcoin blockchain.
They do not need to create these fiat-denominated obligations, and once entered, they usually have escape clauses
Citation needed. Of course most people have fiat-denominated obligations and saying they don't, won't change the factual reality.