Judging by your pic here and the ones on bb.com, you look like a pretty big dude already. How did you manage to build that much lean muscle with low T? I can't remember if you said that you've done AAS before or not.
I would have to say that I gained strength on TRT. When I used to cycle prohormones, my strength would soar, for me, when "on" then slowly drop when off. I've now been on TRT for a few months and my strength has slowly been creeping back up, although not to the level it was during a prohormone cycle. Then again, I'm eating at a calorie deficit to lose bodyfat, whereas I'd be eating at a calorie surplus when "on" before. It would be interesting to see how I make gains when eating more.
So, my prediction is that yes, your strength will come back, but if you were doing AAS before, not to that level.