Saddle getting in the way when cornering on MTB - what to do?

I am practicing the technique of cornering, where one must lean the bicycle into the turn, while keeping the body more or less vertical. A (possibly exaggerated) picture I found on Google:

The problem is, when keeping the pedals horizontal, I always ride with my left foot ahead of the right one (like the guy on the picture does). When I turn left (like in the picture), everything is OK. But when I turn right, the saddle gets in the way (you can imagine it by looking at the picture – if he turned right, the saddle would push his right leg out of place).

What can I do about it? The following works but is not ideal:

• Switch the legs when changing turning direction – inconvenient because I am used to the “left foot ahead” posture, and also because changing too often throws me off-balance
• Remove the saddle – works very good, but then my legs don’t rest, and get tired very quickly