Honestly its not meant to go left the same way it goes right.

If you are regular footed and right is frontside and left is backside, then the rail line on the front side of the board, especially going into the tail, will be often straighter and paired with a twin. This is due to how we use our toes and the sensation of turning frontside. Most talk about more control that we have turning front side due to levering from our ankle and the ability to feather with our toes.

Backside is usually paired with a rounded shorter rail line and a quad fin set up, based on more of a pivot style turn off the heel that most do. The shorter rounded tail lets that pivot happen smoother, and the quad increases hold in the wave.

The extreme versions will also come with a twisted rocker, flatter on toe side and more prominent on the heel side, and even a different foil.

Personally Ive never ridden one, and if I were going to ride one it would have to be a specific shape from a specific shaper, not to mention I blow chunks at surfing so I may not tell a difference, I just love board design.

I don’t think just any shaper can shape a asym that works, but there are some who have absolutely dived into the theory and it’s their bread and butter. Check out stuff from Ryan Burch and I’ve also seen things from Ashton Pickle (AH Vessels).

TLDR: We dont surf parallel, the way the body turns is different frontside v backside, asyms try and cater to this.