I was assigned to units in Vietnam and Germany that had M113 APCs. I'll agree that tracks are superior going cross country and climbing slopes. I think if my unit's duties were mostly confined to roads, even unimproved dirt roads, wheels are better than tracks.
Tracks don't have wheels' speed, IMHO. Wheels don't mangle the roads. With eight wheels, you can lose a couple and probably get the hell out of Dodge.
IF a track is thrown off one of the APC's drive wheels, I doubt that you will be nothing more than a static target for at least 20 minutes. You have to break the track. Then, you have to guide the APC to re-align the APC over the track over all the APC's wheels again. Then the track must be rejoined and put under tension.
The Band track is only 50% the weight of a traditional steel segmented track, which translates to better acceleration and braking, lasts about 4000 miles, reduces noise and vibration, and creates less wear and tear on roads. There is little or no maintenance, although changing the band in the field takes longer than the standard track. One drawback to rubber, however, is that it burns just like tires."
THE KILLER RIDE: Grading the Stryker Combat Vehicle
"The M113 band track system dramatically minimizes noise, reduces infrared and electromagnetic signatures, enhances survivability, reduces rolling resistance and improves vehicle agility. The possibility of road damage is eliminated, with no possibility of metallic components to be in contact with roadways. M113 rubber band track is competitively priced with metal track systems and offers very significant life cycle cost savings, delivered through lower maintenance requirements, and longer track and roadwheel life. "
Band Track System Available From Both United Defense and Soucy International