Libido is very strong. In the gym, I have high endurance, can lift heavy, strong as F
Sounds good to me.
I get up at 5AM, workout 6-7, go non-stop with the kids until 8:15AM, work until 2:30-3, then dinner/groceries/sports practice etc.
This is not why I'm tired?
You're able to do all of that despite getting only 6 hours of sleep every night, which also sounds pretty good to me.
I guess the question is how do you feel going through the day? Are you constantly dragging yourself through every single thing you do, thinking about how much easier it would be to off yourself, or are you feeling pretty good throughout the day until you get tired in the evening?
HRT is at this point not the science it'll be in 50-100 years, when almost everyone will likely be optimized beyond what we can now imagine.
There are many men for whom hormone replacement/optimization doesn't work well and isn't worth the headaches (sometimes literally) and hassle of spending years, possibly decades, working on optimizing your protocol while trying to determine whether you're feeling like shit because your Estrogen is too high, your natural production has shut down and your neurosteroids are tanked, your protocol isn't mimicking natural variations enough, or a dozen other possibilities your own doctor won't have the answer to.
I usually fight the notion that all someone with bottom range Free T has to do is eat enough bananas for potassium and get enough sleep to completely turn things around, but in your case it seems your baseline physical and mental health and energy are high enough that you might be able to go from feeling pretty good to really good by losing fat and implementing a few other lifestyle choices.
Given how far HRT is from a guaranteed success, I would advise you to implement those changes and see how you feel.
To answer your question, yes your levels (Free T is what matters here) are low, very low in fact. But given how you say you feel I don't think it's necessarily a problem.
In 10-15 years you could revist the idea and then the tradeoff might be worth it and we might be further along in our understanding of endocrinology and HRT.