Yes the air door should be open most of the time for colder air which is a + , cold air rules !
I can tell you with certainty that the shaker is restrictive , the # 36 square inches comes to mind to feed the engine properly but I may be low , measure the shaker openings & I think you have 24 sq " . So about 30 years ago we too an SS Hemi 70 Cuda to the dyno & tried everything to get more power , tried different spark plugs etc anything to find even 1 more pony , retuned all the carbs with the shaker off & got 15 hp gain until the shaker went back on then the tuning was adjusted for the shaker & ended up very close to where we started back down 14 hp or so .
As far as increasing flow not much works , you can remove the grilles or take a die grinder & open up the grilles by thinning & wing shaping the vanes of the grille , also removing the lower heat door so it can pull more air from below to add to the flow .
The 6 pack hoods are amazing , on my Duster the hood would start trying to rip over the hood pins by the time you were doing 50 MPH they grab a ton of air .
I would guess that the ralley hood with unlimited air flow vs the shaker restricted but cold air flow , the shaker would still lose