Thus Montgomery's strategy was not to punch through the German forces, but to engage him and defeat his force and not simply punch through, but to keep this defeated force engaged and keep advancing without allowing him to disengage, reform and regroup. This means slow advances that allow operational success to turn into strategic success. This is why the back and forth of the desert war finally ended in victory. No, it didnt have the deep armoured penetrations that capture the imagination of the Rommel fanboys, but it was hugely successful.
Yes it was hugely successful in the sense that Rommel pulled back to Tunesia which was anyway the place they wanted to defend. After that Monty had a genious plan to get bogged down... sorry to blood the Germans via attrional warfare at the Mareth Line.
The game changer was not a genious British Field Marshall, but Operation Torch. Lybia was impossibe to be hold after that anyway.