Its just simply re-ordering your thought process I am sure.
We have many cars left hand change, right hand change, and get this!! Gas Pedal and brake pedals swapped over!! In fact most pre-war cars have their throttle pedal in the middle and the brake on the right!!
I have been driving these cars for over 30 years and just switch automatically from one to another without thinking, pedals, gear changes, first and second on the right or left of the gate, backward gates, all sorts, no problem. Never get it wrong and really do not even think about it after looking at the gate once.
Just mind conditioning.
Bikes may be different though.
Some of my bikes have up for up or down for down or left change or right change, I don't even know which has which without looking. However I am not a great experienced rider and maybe this is helping me with the bikes, once I look at the bike and do it once, I don't get it wrong. Or maybe its a bit of both, I am used to the cars so the bikes are easier?
Either way, I am certainly no brain powerhouse so it must be simply down to mind conditioning.
PS.
Have tried the backward steering bike some years back and did go for a short distance ok, after a good few attempts. You can rent them at the coast in Belgium.