Heat from the brakes will take some time to heat up the tires by conduction/radiation; so, just after an RTO the tires will not have reached their maximum temperature and may be usable to turn off a very nearby taxiway provided any smoking pieces are kept downwind.
Delaying evacuation unless/until a "contained" fire becomes uncontained carries the great likelihood of being subjected to long series of tedious questions at inquiries and lawsuits brought by grieving relatives.
I recall an incident at Calgary where the passengers initiated the evacuation when the smoke became obvious and all survived -- I believe the a/c was destroyed or severely damaged. Time is far too precious at such times to squander waiting for emergency services to drive up and sort out their equipment -- seconds count.