the TOS movie bridges were also asymmetric, with the prominent weapons console to port but nothing comparable to starboard
True dat. But at least the actual 'meat and potatoes' of the bridge - the center - has always been symmetrical, in every Starfleet bridge we've ever seen. Every real one, anyway. Which lends credence to the theory that the Hathaway
bridge was just a temporary one built from junk and discarded gear.