I don't think that works because there isn't One True Blockchain and it doesn't seem like there ever will be. How do you get Google, Huawei, some random photo editing app, Dropbox, Meta, etc. to all agree on the same chain?
This is a general problem that I have with a lot of blockchain ideas. For example, there are a few startups that claim to verify carbon offsets by registering them on the blockchain. There are many problems with this that we don't need to get into, but the relevant one here is: what is stopping me from registering the same offset on three different chains?
