RTKDCMB
Senior Master
The ITF has a somewhat similar kick which hits with the ball of the foot while the leg is "on its side" (as opposed to its orientation in a front snap kick). A side thrusting kick is executed like a side piercing kick but instead of the footsword the ball of the foot is used and the preparation position for the kick has the leg lifted so it is horizontal to the floor. The leg is then thrust forward towards the target, hitting with no rotation (unlike a side piercing kick).
Can you point to a video of that kick, it does not seem like a very good way to do a side kick to me?