So, as you can see, the aluminum modeled reflector causes the best illumination off its surface. The matte white surface is second. Nothing is, of course, the worst.
After analyzing the images. I have some findings to report:
The white reflector creates maximally ~11% brightness on our purple wall. And does this over 450 pixels(about 21x21 pixels). Pixel intensity: 27 and below.
The aluminum reflector creates maximally ~13% brightness. And decays to ~11% over an area of ~11,780 pixels. Pixel intensity: 33 to 27.
Or nearly 26 times increase in the pixels(area) with 11-13% brightness.
Without a reflector is maximally ~9% brightness. Pixel intensity: 22 and below.
--
The aluminum reflector has an area of around 22,000 pixels with over 9% brightness.
The white reflector has an area of around 7,600 pixels with over 9% brightness.
The aluminum reflector has around 290% increase of brightness per area.
--
Maximums:
Aluminum's 50% increase over nothing is governed by the 45 degree angle.
A 23% increase over nothing is gained with matte(specular overcoat) white and a 45 degree angle.
If I made the reflector parallel to the purple plane these would likely double(very close).