So what do you propose? Targeted ads like we so today, micropayments via PayPal? Lightning is the best solution we have today for that use case. I can put a KYCed UTXO into a ecash mint and the state does not know what payments I make using that ecash.
Pretty much the same is true for a self custodial lightning channel. Sure, I at one point owned that amount of sats, but no one knows what I paid for. I can also receive payments in the meantime and use that lightning channel to facilitate payments for friends in amounts exceeding what was once the KYCed UTXO size.