I'm a furniture designer, and have spent three decades with sawdust up my snout; that said, I'm not a finishing professional...almost all that I have learned about automotive finishes comes from other's successes and failures, and from finishing pros that I do work with...Any of the finishes that you mentioned are historically great, but only for the pieces inside your house. So unless your car is going into a museum...
Polyurethane seems to have the flexibility and durability to survive the heat, cold, damp, dry, UV, and cleaning materials that automobiles are subjected to. (To me, the Gloss is too shiny, but can be wooled down after rubbing, and then buffed back up, or a Satin sheen can be acceptable, not sure about Flat sheen...have your guy experiment with some small panels, and remember that all of our parts will be in the vertical position, which should be considered when looking at samples) Polyester is a great finish, but is a two part finish that can only be done on a flat line and is thus not viable. Catylized lacquer is a durable finish, but is too brittle, from what I am told.
To me, too shiny and all you see is reflections, rather than the depth of the finish/wood...I like about a 60-75 sheen...My .02 cents worth, but its your car. Sorry so wordy (prednisone for my shoulder...)