I think the issue with the Monty Hall problem is how it is normally presented.

"You pick Door A, Monty opens Door B, revealing a goat. Should you switch to Door C?"
Which makes it sound as if you are standing in front of three physical doors labeled A, B, and C from left to right. What is described is not a sequence of events so much as the rules of the game.

There will ALWAYS be a Door A, which you picked, a Door B, which is opened to reveal a goat, and a Door C, which is neither picked nor opened.