How does that work exactly? Yu still has to travel some distance to dodge the kick in the timeframe of Mikey throwing it. Even if he did actually dodge those kicks like Takemichi was doing (although Takemichi basically had a much better version of precog than Yu does), He'd just get hit after Mikey uses AD, like Takemichi did.
I mean, do you realized Takemichi was aim dodging (moving before the kick happened) all of Mikey's kicks? Same thing.
But I was talking about general ANPR and AIM dodging. Yu specifically hardly completely aim dodges because he never really needed too. He mostly dodges as soon as the attack starts (when needed), when it barely have any speed. Or, with the same timing, he can interrupt attacks as soon as they start by punching.
There's also a scene where Yu keeps up with attacks he can't react to. They were so fast Yu couldn't move his head away in time. Yet he used his own punch to deflect the opponent's ones. He could percieve them with slow motion though.
Also Yu's slow motion scales magnitudes above any of his other speeds, above monster stance too.
To be fair, Yu would require to move 0,2 m at most to be out Mikey's kick trajectory while Mikey's signature kick requires his leg to move over 2 m... Yu would keep up with him by sheer reaction as long as he can perceive the kicks. Mikey kicks > Yu percieve the attacks after he moves few centimeters > Yu reads the trajectory of the attack > Yu moves enough to be out of it > Mikey misses. Even without ANPR, Yu's slow motion is a big guy to bypass.
Addition:
Honestly while Precognition is better than ANPR for a matter of requiring less intelligence and being, usually, more precise, it doesn't mean that a Precognition user is always better than an ANPR user. There are characters who can outpredict entire danamkus and aim dodging dozen of attacks at the same time with simple ANPR... It's all a matter of skill at the end. The point isn't "precognition vs anpr" but it's the skill of the users.
Between Yu and Takemichi there is an abyss. Takemichi could barely keep up with Mikey and required a lot of time to make up a strategy to hit him, and the strategy itself is a simple counter punch. It's not an impress tactic in The Boxer (even IRL to be honest), it's the first thing Yu does when he wasn't experienced and he even did it more precisely.