Yes to all the above, especially Barrie's suggestion.
Regarding the left-handed models not getting enough attention or buyers, it's all a bit of a vicious circle - there are too few left-handed people who play left-handed, usually because there are no or too few suitable left-handed instruments available, and such a small number of lefty players makes it uneconomical for bullders to build lefty instruments, which leads to a scarcity, which leads to too many lefties playing righty, etc. etc. ad infinitum.
I have no solution to that, but I did wonder why a vendor like Spector, who came to the LBGS with at least 20 bass guitars, didn't even bother to have one lefty. Warwick had fewer models and two lefties IIRC. Hofner always has at least one violin, sometimes other models too (Thank you, Sir Paul, for putting lefties on the map...).