Will TimeSince attributes help against direction based random movement?

e.g. RaikoMicro is a direction based random movement. It choose whether to reverse direction or not on each tick, with a probability based on Bullet Flight Time.

Since the probability of reverse does is not affected by how long it has moved — TimeSince attributes will only be noise.

My gun proved that — the movement profile looks exactly the same on each segment of TimeSinceXXX.

Anyway, I found TimeSince attributes work surprisingly well against WaveSurfers. I've heard that PatternMatchers are good against WaveSurfers, maybe TimeSince attributes are one step to PatternMatching?