Jumping into this thread late, but I'll tell you my experience. 47 yr old male.
I ran the Starting Strength program for about 1 year prior to TRT, because I was getting a spare tire and my arms/shoulders were shrinking. The program worked some, and I got stronger as well as fatter. I was also frequently injured with random muscle pulls, back pain, and similar nagging injuries that always set me back just when I started to make progress. I was starting to wonder what was wrong with me in general due to lack of energy, and the typical secondary hypogonadism symptoms most report. So I went to the doc...
After I was tested multiple times and prescribed TRT by my Endo, I can only say that in the almost 1 year since that time, I have continued on my SAME PROGRAM and found that 1) it is actually now working and 2) I have had zero injuries.
A year ago I couldn't deadlift *at all* because of my back, and last week I hit 300 lbs x 5 for my work set. It was pretty sweet. Lifting hard for 2 years now, I can say I have 3 lifts that are above my bodyweight, and I have goals to get presses and power-cleans there too. When I was NOT on TRT these goals were a pipe dream. I couldn't even lift certain exercises (like DL and Squat) some days because of injuries, or for weeks at a time while recovering.
Being on TRT has made me realize that athletic prowess is largely about your genetics and how much testosterone is available to your muscle tissues. I've probably had high SHBG my whole life and therefore was a hard gainer. It was always a mystery why some dudes could look at weights and get huge, but I could kill myself in the gym and get nothing out of it (when I was a teen and in my 20's.)
Best of luck