In the game, mech is hard to justify when trucks have better off road capabilities than the tracks, until very late game. This is unrealistic, but it is the game we have now.
In 1939, tanks could get away with running ahead of the infantry. This did not last long as leaders learned how to defeat tanks with infantry units. This led to the need of tracked vehicles so infantry could keep up with the tanks to protect them from enemy infantry. Trucks could not do this. There is a reason tanks and IFVs have tracks, to this day. Wheels are not as good cross-country as tracks.
Remember, on the front, roads are for supply movement, not tank and infantry movement. In the rear, motorized units should be very quick, but on the front, everyone walks almost all the time, unless they have tracks (or many wheels) under them. That is true, even today. The single and tandem axle trucks just cannot operate on most ground conditions and are usually slower than tracks, even when they can. Real terrain, even good hard terrain, has so many ravines, cuts, washes, bushes, low spots, erosion, etc.. that truck attrition would be unsustainable. Movement would be slower than foot. I have been in places where it took days for the trucks to catch up to us foot infantry and that was in decent terrain. In bad terrain, they are not even trying and you are on your own.
Even the famous Willey Jeep could not operate off road very well and it was very light, carrying a light load. Once my unit was conducting some large scale training exercise. We had run out of food, because vehicles could not get to us. Our 1st Sgt commandeered a Willey Jeep and spent two days and a night trying to get to us with mermite cans of food onboard. He eventually got close enough that I took a squad and we literally man-lifted the rear of the jeep over obstacles that we could not cut down to help it get the rest of the way. Even when the jeep had a clear enough space to go on its own, it moved slower than we could walk, most of the time. The food was long cold, but much appreciated.
All that said, wheeled vehicles are slower than infantry in many cases. Motorized battalions should operate at infantry speed on the attack. It should take mechanized infantry to keep up with tanks.