Dad won't use the walking aid he was given. Should I remove the hallway rug anyway?

Dad pushed the walking aid behind his armchair and said, "That can stay there until I actually need it."

He had been assessed after a fall, and the clinician recommended the aid. He says the handles make him feel old and that it catches on the edge of the hallway rug. My brother wants to remove the rug while Dad is at his club so there is one less thing to argue about.

The rug belonged to Mum. Dad has already watched us rearrange the kitchen "to help" and then complained that he could not find anything.

I want to raise both the catching problem and his reluctance with the team that assessed him, with his agreement. I also want the hallway safer, but I am not convinced a secretly missing rug will make him trust the rest of the plan.

How would you discuss a change that has a practical reason and a sentimental cost?