After my point above, I was interested in how many winners of the EL / UEFA Cup have done it after dropping out of the CL (whether it’s from losing in the qualifying rounds or finishing third in their groups - yes they get two get out of jail cards).
13/14 - Seville (9th place League)
12/13 - Chelsea (CL Group Stage)
11/12 - Atletico Madrid (7th place league)
10/11 - Porto (Cup Winners)
09/10 - Atletico Madrid (CL Group Stage)
08/09 - Shakhtar Donetsk (CL Group Stage)
07/08 - Zenit St Petersburg (4th place league)
06/07 - Seville (5th place League)
05/06 - Seville (6th place League)
0405 - CSKA Moscow (CL Group Stage)
I believe 2004 was when the format changed to groups rather than knock out all the way, and the CL teams started getting another bite of a trophy in the last 32.
It doesn’t seem that it’s a bias as I first thought, but the gap in quality is always apparent.
Still, if you want to be the best, you have to beat the best.