Do the two powers maintain a joint occupation for multiple generations?
Do they actually establish a settlement within 2-10 years of the occupation that restores Egyptian independence? If they do that, do they find themselves coming back for more rounds?
As a knock-on of this, does anything go differently with regard to French occupation of Tunis or northern Indochina? What about other colonial ventures in Africa and the Pacific, like the German move to establish colonies or protectorates in both areas?