Historically, almost all race cars are LHD. All manual shift single seaters have the stick on the right. Every sportscar I've ever seen has the gearstick on the right. It's only the occasional saloon/touring car that doesn't.
Also, most circuits run clockwise. When shifting coming into and off a corner, it is the outer arm (i.e. the left one) that does most work and can move the wheel most precisely at this time, therefore the right shifts.
Finally, it is also a coordination issue. It's easier to imagine with a sequential box. When going up through the box, a lift of the throttle and pull on the stick (foot and arm move in the same direction) shifts up. When going down, a blip of throttle and push of the stick (foot and arm in same direction again) shifts down. With an H-Pattern, you can imagine it as the same side of the brain doing all the work when shifting (right foot, right hand).
Dave
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