I see your point....but are you saying that testosterone DIRECTLY increases the strength of tendons?
No I'm not saying that it's necessarily a direct cause and effect relationship but tendons and ligaments will get stronger in direct proportion to muscles but at a slower rate. They are responding to the same stimulus ie training. You don't jump under he bar and try to squat 800lbs without your body having adapted to it through previous training and strength increases in both muscle and tendons/ligaments.
My main point when I began this was just to point out that tendons do indeed get stronger with more weight on the bar. Not as fast as muscles but they do. Proper programming of your training will mitigate this issue though as will proper form. Form and training are the reason for most injuries of this nature, not quick strength increases. It's not like you start injecting test and you're adding 10bs to your max the next workout.