Perhaps, but it didn’t cause real problems until after Africa.
Montgomery was the last British commander in Africa after a series of ineffectual commanders who had been unable to stop Rommel(my wife’s maiden name) and The Afrika Korps. The loss of Tobruk was the final straw for Churchill. He knew a change was needed. Another British general, senior I believe to Monty was General Alexander another character in himself but the men who comprised Britain’s top generalship at that time were men of the British upper classes, most of them possessed of that classes arrogance. This attitude, to me anyway, always characterized relations and perceptions between American commanders and British ones. The British tended to view Americans as rubes, amateurish or brash and inconsiderate of ‘’the game we’re playing here’’. Americans for their part tended to view Brits as class ridden snobs with ‘’no balls’’.