Do Muay Thai professional fighters use the Shuffle Step? Bazooka Joe Valtellini is a professional fighter, and teaches both Boxing and Muay Thai. I can' tell if this can be used in Muay Thai, but it definitely can be used in Boxing.
I need to be careful what can be used between two sports, example if you can't bob or weave too low in Muay Thai, due to knees and low kicks.
See video here: It can be used with both left and right hand directions.
There is a certain point where the legs come close together. It may work in boxing, not sure how it works in Muay Thai with being thrown off balance with kicks.
Step images below: