You don't "turn" the bars on a motorcycle, unless you are at very slow speeds, so a twist throttle works there. A thumb throttle allows a large amount of handlebar input without altering throttle input, sometimes required when forcing an atv to do what you need it to.
For what it's worth, I have tried both thumb and twist on 2,3, and 4 wheels just for comparison's sake. A twist works for me on a bike or a trike, but is asking for trouble on a quad in the woods, had a built Blaster that came with a twist and I thought it was deadly until I put a thumb back on it. Almost as bad was the time I tried a thumb throttle on a dirt bike, just to see what it was like. Made my forearm and wrist hurt, and I hit it once with my knee while leaning the bike in a turn on a trail- almost ended REALLY BAD!
1985 Tri-Z 250
1985 ATC250R