Yes, cortisol is a catabolic hormone and testosterone is an anabolic hormone. I understand what you're saying and where you're coming from. We're not talking about exogenous test/AAS being added or supraphysiological levels though. We're talking about restoring a natural homeostasis after a suppressive cycle (which sometimes results in a baseline higher than pre-cycle).
Yes, testosterone and AAS have the ability to lower muscle cortisol metabolism. During PCT you will have a low test:cortisol ratio. Until your natural test levels have been restored, cortisol is said to exist in a high enough ratio to test to be catabolic.
In all honesty, I'm unsure if it's simply a high enough test:cortisol ratio that prevents catabolism or if test itself actually decreases cortisol. I believe it's the actual ratio though. Therefore, if you can decrease cortisol during low levels of test, you can decrease catabolism.
I appreciate your questions and statements. I had to engage a few brain cells that I haven't used in a while, lol.
Repped!