Reply by Loren

Carcase first. I can’t think of a good reason to make the
drawers first and to do so would be looking for trouble, imo.

If doing a lot of cabinets, it is smart to assemble the carcases
last because they consume a lot of space. So in small shop
fact frame building it would be face frames, then doors and
drawers, then assemble the carcases.

However in fine furniture with piston-fit drawers you build
the carcase first, drawers oversize by a hair, and plane to fit.