I'm confused now. Seems like reputable people on both sides spittin facts. I too wish I could independently verify any of this information.
It's not confusing as soon as you realize that Mylar is a humble sheet of plastic and it is the humble aluminum layer that can be added to one surface that is actually reflective. All the tangents about PAR, diffuse vs. specular lighting, quality of aluminum, etc. are just tangents. All those tangent qualities can/are found in the aluminum used on Mylar (usually diffuse), emergency blankets (usually specular), plain aluminum foil (both diffuse or specular depending on the side used), reflective insulation for your home (specular), your grow light hood (specular) etc... they all carry the same testable and measurable reflective qualities and they all work due to them all being the same thing... aluminum.
Instead of this kind of attempted apple to oranges arguments through voodoo logic, it is really an apple to apple comparison that comes down to splitting hairs and confusion in order to continue.
And 'mirrors' are made of different types of reflective material, so it's pointless to compare mirrors to aluminum. Even mirrors that are made with polished aluminum are simply not as efficient because they have a layer (or more) of glass over the reflective material. Glass absorbs light and light has to pass through it twice in order to be reflected - hence it is not as efficient at reflection as the reflective material would be by itself.