I agree, although I think Ike has finally concluded Monty can't clear the Scheldt without American help. So, he loaned 104th Infantry and 7th Armored to the British. The area west of the Arnhem salient had to be taken to protect Antwerp and the Canadian flank.
IIRC, those units went back to the U.S. fairly quickly, but in the Battle of the Bulge Ike let Monty glom onto more U.S. units, keeping Ninth Army through the Ruhr campaign. Guess who Monty assigned to attack the northern prong the the Ruhr envelopment?
I agree, Ike couldn't fire the Hero of Alamein. Brooke sure wouldn't want it to happen because then HE would have to deal with Monty!
Ike couldn’t, however, the British leadership were starting to see faults with Monty:
From the Guns at Last Light.....
Even Field Marshal Brooke had doubts about Montgomery’s priorities. “Antwerp must be captured with the least possible delay”, he told his diary in London. “I feel that Monty’s strategy for once is at fault.” Montgomery would acknowledge as much after the war, conceding, “a bad mistake on my part” in demanding too much of the Canadians. “I reckoned that the Canadian Army could do it while we were going for the Ruhr,” he added. “I was wrong.”
But in October 1944, the field marshal displayed no indulgence for those who questioned his judgement. Admiral Ramsay warned that to clear the Scheldt of mines would take weeks, even after German defenders were finally flicked from the banks of the waterway. “I think the army is not taking this operation seriously enough.,” he told his diary in early October. After another SHAEF meeting, Ramsay wrote, “Monty made the startling announcement that we could take the Ruhr without Antwerp. This afforded me the cue I needed to lambaste him...I let fly with all my guns at the faulty strategy we had allowed.” Montgomery took such criticism badly, and he accused the admiral of undercutting him. “Request you will ask Ramsay from me,” the field marshal wrote Eisenhower, “by what authority he makes wild statements to you concerning my operations about which he can know nothing.”