do you know what a func_door is, they're supposed to be visible
edit: i see it's parented to a prop_dynamic, so are you saying you can see func_door when you apply nodraw? edit: i applied nodraw on door of yours, it looks invisible in game
Also, I went through and selected every part of the map and copy pasted and rotated 180 degrees so the map was done.
And then all of the entities (func_doors, triggers, everything not just a brush or a prop) just vanished, or became a brush.
This occured on both sides.