So you're saying you assemble it completely before finishing? How do you keep the poly from sticking the rails/stiles to the panel?
I have worked in probably 20 shops in 40 years, including 4 of my own.
This is the way everyone I know does it, (sane people anyway).
Mennonites here in Belize assemble wood doors without sanding, it is near impossible to get them sanded after. Many problems, cross-grain sanding on tops of raised panel profiles is just one of the major issues.
They also use Mahogany sapwood, as all the heartwood is exported.
When you hear about Honduran mahogany this is where it came from.
Belize was formerly British Honduras.
In short they make things for poor people, you get what you pay for.
To locals it serves it's purpose, not a thing of beauty I can assure you.
The sticking of finish has never been an issue that I know of.
The wood will move if ambient moisture changes and break any adhering with no ill effects that i have seen.
For the record I don't use poly unless outdoor kitchen, I like lacquer.