Probably european type hinges that don’t show and your cabinet maker should know all about those.

Euro hinges

Thank you, both! Yes, we've considered the euro hinges. What I'm hearing from my cabinet maker is that the hinge cups would invariably hit at the thinnest part of the door. That requires a 1" MDF door for thickness and stability, which creates too much weight for the hinges. Soss hinges could handle that, but then there is insufficient adjustability for when settling or humidity shift the cabinets over time. Are any of these concerns off track?

Standard Euro hinges are for 3/4" thick material. What are you using? There is a hinge for every application. It sounds like your cabinetmaker is not really a cabinetmaker if you're searching for solutions for them. Maybe try to find someone qualified for the job.