There's kind of a lot to unpack here.
You have to be careful with doctors at clinics. A lot of them are snake oil salesmen. There's no evidence for the claim that men used to produce more testosterone. We weren't testing the testosterone levels of paleolithic men or even of men 50 years ago. We simply don't know. I am suspicious of any doctor who makes a living peddling hormones that makes this claim.
I mean, listen - if you're getting itchy nipples and having to take a harsh, nasty drug (which your doctor massively overprescribed) to counter the side effects of this supposedly "natural" testosterone level, doesn't that tell you something is wrong with his claim? Were all these mighty men of old walking around with itchy nips and bitch tits? I doubt it.
When did you get this 257 ng/dl number? My guess is that it was in the deepest part of your trough. So you were most likely much higher the day after your injection.
I'll just tell you that 560/wk is a monstrous "TRT" dose, and I don't think it's healthy or sustainable in the long term. Furthermore, it's likely that your average total test level is somewhere in the 4000 range or even higher on that dose. This means your doctor is massively overshooting his mark of 2000, which is too high to begin with (I'm talking the average level here, not just on day five after your last injection). Honestly, it sounds like this guy either doesn't know what he's doing or doesn't care. I'm in the MMA/BJJ world - the reason your BJJ buddies like him is that he's giving them a prescription to straight up juice.
For reference, 100mg of TRT administered subq daily keeps me right around 1000-1100 total. I'm in my mid-40s. I'm not at all claiming to be awesome or amazing or anything because I'm clearly not, but that is me in my profile pic, so that gives you some idea of what is possible at a dose much lower than you are currently on. And in fact, I'm sure many could do much better.
This doctor sounds janky to me. Of course, it's up to you, but my advice would be to find a new doctor, cut your dose back to around 150-ish, administer more frequently, and drop the AI entirely.
I hope that helps, my man. Just want you to be healthy and happy. Please give it some thought.