When I throw a softball, there's no time to think about the motion of my arm. I just look at the first baseman's glove and react.
It's such an advantage to be able to hit short irons low on command. When it's windy, you'll hit more greens. But low shots are a great strategy in calm conditions, too: The less time the ball hangs in the air, the less time it has to stray off line from the flagstick.
The beauty is, while you're working on chipping, you're also working on driving. This is because the bottoms of both swings - the area around impact - are identical.
I was the first to win a major with a belly putter, and I've spent hours practicing that way, so I hope they don't ban anchoring.