I made the panels from 3/4" mdf, then wrapped them in solid. Mitred the corners for the wrap. That job, the frame was 3/4" wide, and 1" thick. Creating a square profile door.
It was a hassle, and time consuming. We cut a rabbet into the front edge of all of our shelves, then the facing has a groove in it to slip over the tongue that the rabbet creates. Basically used the same joinery on the doors we made. No nails, just clamp everything together. Knocked the back flat with the lipping planer, then pitched them all through the widebelt face up to just make that all happy.
That was just a few cabinets in a kitchen. Mix of paint and riftsawn white oak. Maybe 20-25 fronts, so not a ton.
We've got another job coming up, same theory, but the frame will be 1-1/2" wide. I think we're going to do that in a similar fashion. That's a whole kitchen also in rift white oak. I'm not real excited about that.
If it were all paint, and I cleared it with the customer, I'd shallow up the frame to panel offset, then cut them all on the cnc. I'm not a huge fan of machined mdf doors, but this would be a good way to not have to charge an arm and a leg for fronts. Or deal with the potential issues of having a non-stardard thickness door/drawer front.