Axel,
I agree and disagree with your statement regarding lower noise performance. This is true if you can walk up to your subject and take the picture otherwise noise levels are similar.
When photographing from a set distance and cropping images identically, noise levels are very similar and the 7D has better resolution. The Mark III's 1.3x sensor requires heavier cropping than the 7D's 1.6x sensor to frame the bird identically.
Your statement is correct if you can walk up to the bird and photograph it. The Mark III has lower noise at similar ISOs. Unfortunately it is not very often that I have that luxury.
I have drafted a paper about this (real world examples) in case anyone is interested. This is why I wrote about creating a standardized test for focal-length-limited situations in the field:
http://iwishicouldfly.com/iwishicoul...Mark%20III.pdf
Cheers,
Alan