Although I think there are variation of each, I don't think the running two steps, hop, land, push off, throw off front foot is an ideal crow hop technique; a hop step behind and throw seems better but is probably more crop hop than pro style, I've seen others advocate more of a side shuffle that almost comes closer to mimicking infield technique.
Again I think angles and technique matter. If you are running to the side versus straight at the ball it will make a big difference or what if you have to backpedal a few steps on a ball that carries on you. I think if you say for ball that you are charging you should use a crowhop type motion is OK as long as they are not going to nitpik if there is a little shuffle or back step in there. I think the point is they want your momentum continuing forward through the ball and throw. Now on balls that are at different angles or your momentum is not forward crowhoping does not really make sense IMO.
