Code change:
Backend origin servers may then use the "Client-Cert" header field of the request to determine if the connection from the client to the TTRP was mutually-authenticated and, if so, the certificate thereby <del> presented by the client. Forward proxies and other intermediaries MUST NOT add the "Client- Cert" or "Client-Cert-Chain" header fields to requests, or modify an existing "Client-Cert" or "Client-Cert-Chain" header field. Similarly, clients MUST NOT employ the "Client-Cert" or "Client-Cert- Chain" header field in requests. </del> <ins> presented by the client.  Access control decisions based on the client certificate (or lack thereof) can be conveyed by selecting response content as appropriate or with an HTTP 403 response, if the certificate is deemed unacceptable for the given context.  Note that TLS clients that rely on error indications at the TLS layer for an unacceptable certificate will not receive those signals. </ins> When the value of the "Client-Cert" request header field is used to select a response (e.g., the response content is access-controlled),

Related discussion:
text: If the spec says TLS order, it's implicitly saying the interpretation is (1). But as that leaves a security-critical check to the origin, it should be explicit about this. Also, as it leaves all certificate validity to the origin, it'd need to further define an error-handling story to properly tell the client the certificate was invalid. But I know of no client that uses HTTP-level errors to clear client certificate decisions, only TLS alerts. I think (2) may be a more robust/compatible.
It is definitely 1. You do 2 and you don't need this client-cert-chain field at all. That doesn't mean that a proxy can't be configured to do the work and pass the info along. But one of the two needs to be in the hook for enforcement. A consequence of 1 is that alerts at the TLS layer won't be used to signal errors, aside from those that the proxy detects (or has to, like if the signature is invalid). That is ok, mostly. The main protocol issue here that might be a problem is validation of signatureschemecert. I can't see how failing to validate that would be a significant problem though.
In on the PR that introduced the chain I was aiming for 2. But eventually relented to MT. Some additional considerations about the security implications are likely warranted though.
I see. If it's (1), that should probably be clearer in the draft. That also means the draft needs to define an error-signaling scheme. Moreover, if the proxy doesn't then translate that error into TLS alerts, we'd need changes in clients for servers relying on this to work right. I'll file a bug.
I ran into real reservations as I looked at making this change. I still don't like pushing the trust chain validation to the origin. For many reasons. The proxy also has no means of signaling to the client which trust anchors the origin is okay with. The current text is somewhat ambiguous about what goes in Client-Cert-Chain but I think that's actually better than saying it has to be same as in the TLS handshake. I dunno, I think I might raise the question of WTF actually goes in Client-Cert-Chain at the next interim or real meeting.
At the last virtual interim (in May/June yikes!)