Isn't a more proper treatment (assuming the tree itself is healthy) to bump up the pavement target height like a foot or thereabouts and put down some slope smoothing ramps to limit how much it acts as a speed bump? I'd assume it would involve hydrovac digging down between the roots a foot or two deeper than the sub base the roots appeared to believe in, to guide future growth of those roots down (by making that direction easier than to break the asphalt again).

Or perhaps literally just grinding (or otherwise prepping/cleaning by however is suitable given the presence of these roots) the fractured asphalt to improve bonding, and following with a good layer of fresh asphalt over top thick enough to keep the roots deep/the pavement surface resilient against the next decade of the root's growth? Ofc. including start&end ramps to not make an excessive speed bump.

If it's thick enough future crack fixing should probably only require a prius-parking-spot-sized heat lamp/"grill" placed over the cracked asphalt until it's soft throughout the full depth of the cracks, and then run a compactor/stomper over it to smash the malleable asphalt smooth. If needed that's the perfect time to spread a wheelbarrow of fresh hot asphalt in the heated cracks to restore decent coverage thickness over top of the roots. Maybe first grind it down an inch or two to get rid of the weathered topmost bit, but otherwise asphalt is pretty much unlimited recycling suitable, or at least we haven't yet really run out of demand for fresh asphalt to get rid of the used asphalt we're digging up by cleaning it a bit before mixing with new ingredients to dial in target softening temperatures and gravel composition...