My total T is higher than normal, while my free T is actually lower than normal. That's a pretty extreme variation. I do have a lack of libido, energy, and motivation. I have read that when total T is low, but free T is fine, doctors will not likely prescribe TRT because "free T is the important part", but what about in this case?

They may think, "His total T is high enough, so let's not increase it even more". Although there's nothing wrong with high total T, doctors may assume there is. But I have symptoms of T deficiency that interfere with my life, despite high total T.