More to the point, when you get in close, you force a mouse user to have to move their arm in sweeping motions to keep up, and lift the mouse off the table to do it. A mouse user can't really keep up in <250m distances without extremely high dpi and a large surface to work on (or just typical "predict where they're going to go" experience, but all 3 get this). The fact joystick users can also roll to make even tighter turns and have better throttle control helps too.
At a distance of >500m, the mouse user should have no problems at all pegging them before they get close unless the joystick user is good enough to evade. Going head-on with a mouse user is typically suicide. You need to get to their sides somehow, force them to turn hard for long periods of time.
Keyboard takes turning to an extreme. You should be able to out turn anyone more or less your skill level on the other controller types. Problem is you lose almost all your ability to aim until you get good.