Road tuning is for daily drivability, since the inertial dyno can only simulate linearly increasing load.
It's not uncommon to get a car dyno tuned, and find that the car still has knocking at certain rev range/load. Most of the time, the tuner enriches the fuel maps a bit to compensate for possible knocking issues, so they don't need to tune on the road.
Most of the time, we go part throttle to full throttle and downshift, part throttle full throttle again in an instant in traffic.. In a way, a dyno will never replicate this situation, so the part throttle tuning is best done on the road. Hattech is right about WOT tuning on the dyno. It's what it's for.
Summarising:
On road tuning = good part throttle power.
Dyno tuning = good full throttle power.