tgdxb,
The take-off analysis gives you a maximum weight for the runwaylength, runwaycondition, temperature and pressure altitude (with possible weightpenalties for deferred items). A balanced field take-off is where the accelerate-stop distance is the same as continuing the take-off at v1 with an engine failure and cross the runway end at 35ft.
The weight for that runway(02) can be around 340T (CF6 engines). I don't know for JT9's but probably no big difference.
If their TOW was equal or lower than the max weight for that runway under that conditions, there is no problem (theoretically) to make it till v1, and stop within the runway-length.
Blowing a tyre gives you reduced braking-capability and is normaly no reason for an abort at high speeds (above 100kts)
So it was wise! As it is for smaller planes to use intersection take-offs iso the full runwaylength.
But let's wait and see what the reason was for the abort!