Never (personally) had an issue with tracks tearing up roads. T130, Diehl 513, T150F: never damaged the roads I operated on, in Australia & overseas. Re. Dirt tracks, we’d normally parallel them if we thought we’d damage them by repeated traffic.
We’d also road run Leopard AS1 (similar MLC as AS21/KF41) with no issues regarding damage. Can’t imagine composite rubber track would be any more aggressive than conventional track using rubber pads.