Your issue is with the Court, all the way up to bribery, which would exist with or without blockchain. Your concern is not without merit I suppose, but in my opinion is an extreme edge case against blockchain to suggest the legacy system is a better solution, when the very edge case you describe exists in the legacy system. Thus, it over looks the benefits the blockchain solution would have.
Again "blockchain" is a bit of a misnomer in the sense it suggests blockchain is a single tech solution, when there are many existing implementations from multi-party signatures to smart contracts - yes controlled by a 3rd party - when say an NFT ownership record could be burned and/or reminted.
I am also not entirely sure about this point:
>The issue with them is they don’t take investors.
Almost every legacy system I am aware of that is utilized by the Courts are money making machines that have investors and/or are publicly traded companies. I am sure you could find one or a database that doesn't have investors, but the money is certainly there for software solutions used by the Courts.