Over 30 years, you'll find vulnerabilities in pretty much anything; so you don't want that device on an open network anyway. But, you can put it on an isolated VLAN, configure it so that it's accessible only by that proxy and no other computers, and then all the http traffic is in the isolated part, and the users access the proxy through https.
Initial can-of-worm questions are "who's allowed to update the cert?", "how does the device authenticate the person updating it?", "what's the failure mode if an update goes wrong?", "how long shall we test the new cert-writing-module?", "will the customer even bother after the initial certs expire we install for them and instead just tell their users to flip the Chrome flag?", "how do we also update TLS and crypto libraries to support future certs or standards?"
I imagine you'll be able to flip a Chrome flag to turn it off anyway.