Afaics conceptually, the decentralized checkpoints would not prevent BCX from stealing wallets if he had an attack on the private keys of the genre I was exploring upthread. If he can take over the chain from a checkpoint forward, the he can see transactions before they are added to the chain, thus if the private key could be cracked, he could double spend the transaction, discarding the original transaction and putting one on the block which pays to himself.
Upthread we never showed a way to crack the private keys. All I showed was an idea of how to potentially identify which public key in the ring is the sender in some cases. And from that, I noted it makes some more simultaneous equations available for the private key. Whether those simultaneous equations can be solved faster than factoring a public key is not known to me. If someone knows, afaics they haven't told us in this thread.
It was my understanding that checkpoints were in response to the second threat of a TW and had nothing to do with the first threat which was an attack on private keys to steal my wallet.
signed (((<<<~~~The Drooling Masses®~~~>>>)))
please note: signature not directed at you. It is however something I have affectionately called myself on bct.