[Neutrino 123]

Well, exactly what do you mean by "success"? There are all sorts of outcomes that involve the securing of a bridgehead over the Rhine.

A likely scenario is the British using a better zone, allowing them to concentrate the whole division in the Arnhem, perhaps holding out until the XXX corps arrives. The British plan was to drive north to the sea after crossing the Rhine, but by the time the XXX corps reached the Rhine, it had seen heavy fighting. Meanwhile, the Germans had build up signifigant forces. Thus, the bridgehead couldn't be expanded very quickly. Still, the Germans would need to devote more forces to containing the bridgehead, and the British would be in a better position to renew the offensive when the time came. Antwerp wasn't opened until november, and the Bulge would prevent a large British offensive until spring. This is when the British historically captured a Rhine bridgehead, but with one already avalible, their advance would go more smoothly (and other areas too since there would be more Germans opposing the British). This might lead to the war ending a few weeks early.

If the British had been able to complete their entire plan, then much greater success could be acheived, but driving quickly to the coast was probably unrealistic.