Given how the console controller was mentioned, those are not the kind of movements I was picturing. Those are kind of WoW-esque.
I think your point would be better expressed with “movement bindable to keys”, which would mean the movement you described could be bindable, it would not be binded by default, and the user would take care of remapping the skill keys to compliment the movement scheme they prefer.
With the option available but not supported as an official scheme, then the need for a separated interface would vanish.