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This article suggests it was a rather less click bait reason of there just not really being any standards and their carb was on the left so the left grip was closer to run the cable to.
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Didn't some motorbikes have the brake on left lever,
The left hand lever on a motorbike is normally the clutch.
I've seen an ancient bike (I think it was a Harley) which had a left hand twist grip controlling the advance and retard. Indians were probably the same.As to push bike braking, I am convinced that there's no real difference between one side or the other, but it's best to stick to whatever you are used to.
Looking at old racing photos (eg. But et Club) from before the time Mafac became almost universal, it seems there was no preference for one side or the other. These riders were the 'giants of the road' and I'm inclined to think they knew what they were doing.
As for little me, I've done getting on for a quarter of a million miles with my front brake on the left/ rear on the right and I'm certainly not going to change now.
When I was young I had a phase of motorcycling. Always British bikes with rear footbrake on the left.
After a gap of 30 years I needed to use a motorbike again. Now the back brake was on the right and although under normal circumstances I would remember this, in an emergency stop I was unreliable and twice went for the wrong side. I believe this was a condtioned reflex which I couldn't get rid of. I know I'm not the only person who has had this problem.
As you can see, I did survive. Nowadays I steer clear of all motorbikes!