Since no one is answering, I'll give you my take.
I'd just do what your cabinet guy says to do.

White laminate is white laminate.

But then on the other hand, a white laminate door usually doesn't have a frame. It's a slab. So, actually, I don't know what you're talking about.

Thanks for answering, I appreciate it. Laminate can be glued to mdf, plywood, etc... I chose laminate because in terms of cleaning and durability it holds up better than paint and is less expensive that lacquer. So a wood frame around an mdf piece was one option of making a durable, warp and water resistant front. I guess that I will try to talk to some other cabinet makers becuase I do not think that particle board is the best and only way to make a flat front door. But maybe I am mistaken.

Happy, There may be some confusion as to your reference to Laminate. I would say that laminate is more of an old school term as now "laminate" may be interchangeable with Melamine or even thermofoil. Not saying that's fact. Just saying.

BTW, I'm looking at a 45 year old laminated particle board door that is warped. I think the warping only occured in the last 10 years or so.........

Slab doors should always be done on high density particle or mdf. If using foil to cover MDF is preferred because due to smoothere surface. Otherwise no difference.
Laminate- refers to formica, wilsonart etc high pressure laminates which have a layer of phenolic (brown) that shows along the edged, a layer of melamine and a wear layer. Generally tougher than melamine.
Melamine is most often used for cabinet interiors on particle board boxes.
MEDEX - sounds like he is referring to NAUF (no added urea formaldehyde) MDF.
IMO- frameless boxes are best made from particle. Ply is considered an upgrade only because consumers think it is. You are mostly paying for veneer interiors with that. There is no structural advantage. More screws are needed when installing plywood frameless to prevent cupping at the joint between the cabinet.
Edges of boxes depend on door treatment.
Painted should be wood painted and door should have wood edges painted- thicker is better.
Foil- doors ar wrapped so siide edges are seemless- backs are melamine. Box edges would be vinyl or melamine- vinyl is tougher.
Laminate doors will have a brown line at the edge and are rare nowadays.
Aluminum is an aeshetic choice- toughest of all but a different look