You are creating a circle of confusion.
All of your statements are are absolutely correct.
My post "You get more depth of field with a wider focal length at the same aperature and distance to subject." Absolutely correct. It is covered in the afternoon on the first day of a beginning photography class, right after covering the exposure triangle.
I was comparing aperatures, same lens/camera/setting, not the physical size of the aperature. Your example with the 500mm proves that. At 15mm opening the aperature would be f32.
Not so oddly this makes his statement still incorrect, yours and my post correct.