Bicycle Infantry

[Wolf sword]

Now forgive me if this was covered before, I did not find a thread on it.
Bicycle Infantry, why don't we see more of it in T2000? One would think that this would be an no brainer, your mechanized infantry regiment is all out of mechanized items, change them over to bikes. Yes they don't move as fast as they did, when they had the fuel but they will move faster then on foot.
It was used in Europe between WW1 and into early ww2 so why don't we see it? Is their something that I'm missing?