You do not need big hands to use a classic steam controller, you just need to shift your grip. It's actually hard to use a steam controller with big hands. With long thumbs, the proper grip doesn't land your thumbs in the middle of the track pads.

Failing to better communicate the proper grip for the steam controller was a real fuck up on valve's part though. They should have tried to communicate it through design, making it harder to hold wrong.

I am kind of concerned about the size of the new controller, but valve seems to have decided there's no place in the market for a controller without sticks.