Will TimeSince attributes help against direction based random movement?

My scores had improved a lot back then when I boosted Time Since Decel's weight on the Easy part of TCRM. I thought it would be correlated because if you are changing directions every tick with the probability of x you would basically be changing directions around 1/x ticks. Let me check again... . The double Time Since Decel version did a little better(0.02) which is probably just noise. I am going to look at the profile... I am not getting flat profiles here. When I try 11 different time since deceleration from 0 to 1, values of the Guess Factors are like:

45
45
45
45
45
45
30
30
42
21
42

After 150th round I started to get values similar to this one which means it makes a difference for WhiteFang. It might be the 1 / (1 + 0.1 * x) formula I am using.