A lot of the doctors are not helping not because they are complete idiots but also because doctors a typically vary of putting someone so young on a lifetime therapy. I am 25 and even for me some doctors have been hesitant due to the dependence of it throughout the life. Even though this does not make a lot of sense in hindsight but it's what I see. Hypogonadism is very common but under-diagnosed problem and one doctors don't take very seriously due to not being able to feel what we feel and lack of physical symptoms. Majority of the people are also not being treated properly as well, with 2 of the 3 docs I visted were very clueless about it, one of them didn't inform me about the infertility aspect of it and wanted to start with gel. I typically don't argue or bother to counter any of these docs views and just move on due to the knowledge I have gathered here.
You should, I know it's tough after knowing you have a problem, to wait and keep seeing different docs until you find one that's willing to work with you and is open to your feedback on treatment. There's no way for the doctor to treat your symptoms when he doesn't even wanna hear them out. In that time, you will also know whether this change is permanent. I lost 110 pounds as I was also obese throughout adolescence. My T didn't recover but most people's does after some natural healing time.