Wouldn't want to be rolling ankles in runners.
To my mind tennis shoes have flanges underneath to offer greater contact and a flat non-rolling surface. Up top they offer far more lateral support with various built-in plastics and strapping in the shoe.
Runners, put simply, are built for fwd moves and not side to side. Or look at it the other way. Go run on the road in tennis shoes eg. Barricades. Not very "runnerly" are they!
If you are in runners on court I just don't think you can go for extreme moves, certainly not with confidence.