I think the crux of this thread is how to get a chamfer on the edge of a plywood panel. To answer the first part, a chamfer could be machined on the plywood edge with a sufficient step on the inboard side of the profile to accept a thin layer of tape or hardwood veneer. It could be scraped flat to the panel, but the bad news is the thin end of the chamfer at the outboard of the taper would be feathered thin to cover the plywood. There still may be some thickness to the plywood there.
If the piece was just a decorative one, it may pass the trials of time. I have done plywood panels for raised panel doors by using plywood and a solid wood edging that gets profiled. It can be integrated into cope and stick joinery, or can be glued into a rabbet on the back of the rails and stiles. Very easy to do and no movement issues.
The adding of a hardwood edge works best to glue on the solid stock that can hold clamps, or cauls and clamps, and then when dry to profile it. The chamfer I think intended in the OP was one with a tapered edge of some length, like 3/4" to 1", for angles like a 45 degree.