I disagree and remember - Haig controlled, from the start to the finish of his command, the lesser force on the continent. Nor was he the senior commander in the theatre, he was subservient to the French and instructed by his own government, against his better judgement, to follow tactical (and strategic) planning which Marshall Joffre laid down.
But the indications are that Monty was far more ready to pipe up, disagree and take his own line. And often to carry a reluctant govt with him.
Haig seems simply to have got his head down and slogged on, when a more imaginative man would have suggested or taken personal initiatives.
Remember this: Haig is the man who denied Fuller "et al" their decisive victory of 1919 - and saved (potentially) 100,000's of allied lives (and German).
I think my last was de Groot; and at present I'm immersed in Indian Army post-WW2 stuff, so I have to try and think back.