What is the advantage of asymmetric design? If it is only for looks you can forget it.
There is no real advantage in itself, in fact it can be considered quite the opposite when considering manoeuvring characteristics.
The LHD/RHD of cars (
which is a case often used to argue for asymmetry) is due to inherent lack of symmetry in the car internals in the first place and the need to place the driver in the notionally best location for situational awareness reasons (
RHD for LH road infrastructures and LHD for RH road infrastructures - the driver being placed as close to the centre of the road in the context of the road system it is primarily built for).
As a rule of thumb, you really want the pilot to be as close to the centre of momentum as possible for manoeuvring reasons (
lower turning forces on the pilot during manouvres) and on the flipside as clear of the hull as possible (
situational awareness). Typically, in both science fiction and the real world, bridges/cockpits are located in the most logical place for the individual use case. In most cases of space craft, similar cockpit positioning to that of classical military aircraft is typically adopted. Which normally means offset fore/aft/up/down but on the whole laterally speaking centrally placed - even if there are instances of the pilot being offset to one side of the vessel in the case of some cockpits.
In the context of space craft, placing the cockpit offset laterally (
c/f B-Wing in horizontal flight configuration and the Millennium Falcon) is perhaps the worst thing you can do from a design perspective for a number of practical reasons -
Star Wars nostalgia is not a good basis for arguing for it.
