Sorry, not following. I don't have any deep knowledge about the subject more than I historically been interested in fitness and bodybuilding and with that comes some knowledge about hormones.
Not saying "roid rage" is not impossible but the studies I saw was that the idea mainly came from people in criminal circles who often used a multitude of drugs who wanted to be bigger and more intimidating and then drank some alcohol, popped some benzo or did pcp and started fights. Thus "roid rage" became a thing.
But when they looked at people who were just in the fitness industry with normal jobs and families that used testosterone they did not find the connection. This was a time ago and maybe there are newer studies. However there are much stronger anabolic steroids than testosterone and those I suspect can cause real roid rage; some people seem to get odd rages on for example trenbolone.
Hormones do affect how you feel though and like I said I do only have experience with Prednisone for inflammatory bowel disease flares and while I get noticeable more irritated (I can control it, so I know that I'm pissed that my colleague is humming because of the medicine and I can just ignore it) but I've read in forums about the disease that one decided to stop driving when he was on high dose Prednisone just because he got such insane road rage and was afraid that he would do something stupid. That is rarely something doctors tell you.
About your other questions I don't know I'm afraid. I have very little knowledge about the subject more than these specifics.
But joke aside, why would hormones only work in one way?
And why couldn't you say the same about, say acetaminophen? Without a RCT your guess is as good as mine!