Maybe. The allied troops knew they had a possible war winning machine, a war machine that would lead to significantly less casualties.
Had that comforting thought not been available from 1916 onwards, what would the mental state of the allied troops have been? With nothing but death to look forward to, mutinies might have engulfed the British army while the French mutiny might have been more excessive.
Perhaps the German 1918 offensive (which did not utilize tanks) would have proven the straw that broke the camel's back.