Is "Almost Any" diagrammed as "some" or "most"

@Ryan, That's correct, "almost any" is best diagrammed as most as it represents a quantity less than all and more than some/few/many, Let me know if you have any further questions.

Q1: "Almost any" wasn't used as "most" in the video explanation, but rather was used as "some" due to it being a Must Be True question. Does that mean we need to view it differently based on the question type? Q2: The Key Takeaway shown under the correct answer states "Almost all" in place of "Almost any". Do we consider both "Almost all" and "Almost any" as "most" statements?

I don't think it changes based on the question type. I would treat almost any or almost all as the same thing as a most. To your second question, any and all are equivalent in this case, and both are most statements.