2 cars with same bhp but one has more torque.
Both do a sprint to 100mph and get there in the same time.
Then both do a sprint to 100mph, each pulling a heavy trailer.
The one with more torque will get to 100 first.
Thats my take on it, torque is pulling power. Thats why th yanks love thier big engines.
If two identically weighted cars with the same power, same gearing, aerodynamics etc. (but one with more torque) get to 100 in the same time, it doesn't matter how much weight you put in the trailer, they will always get there in the same time.
To have accelerated to 100 in the same time as each other they must have had identical torque at the wheels over the rev range used.
That's what your gearbox is for, to convert the engine power into differing amounts of wheel torque at a given rpm.
In the real world you are right though, the car with more torque will be quicker somewhere, though not necessarily in the rpm range used for maximum acceleration.