More to the point, TRT can make other preexisting hormone problems worse as TRT creates metabolic demands that weak adrenals and/or thyroid function cannot support. TRT does not create these problems. If other systems are weak, they need to be managed.
TRT can often improve weak thyroid function, but not major thyroid problems. Conversely, fixing thyroid levels can allow T levels to improve.
All things are interconnected. All systems support other systems.
TRT can lower total cholesterol levels while leaving HDL mostly unchanged.
Do not forget that Vit-D3 is converted to a steroid hormone vit-D25 that is mission critical for health. Low vit-D25 levels can make all systems sub-optimal. Cell wall permeability is important to support hormone receptors and other cellular activities. You need EFAs in your diet. For most that is fish oil capsules.
You should not think of these things as one thing will fix everything. Just as T only TRT can create estrogen imbalances and low LH levels [managed with hCG].