They are not extremely elevated and FSH/LH, especially LH, change frequently. His SHBG is high and his free test is not great although perfect adequate. I don’t see why his HPTA wouldn’t be signaling to produce more test. I think this is a situation where you retest in a month.
The elevation in LH is probably in response to the lower Free T which is low due to the high SHBG for which TRT is the solution. TRT is will decrease the overly high SHBG, increase his Free T and relive his symptoms of low-T.
In your father’s case, he doesn’t suffer from secondary hypogonadism (pituitary problem), in fact his pituitary gland is functioning like a champ trying to get more testosterone into the body, but the liver is producing too much SHBG which is decreasing his usable testosterone.
Your father’s pituitary gland will struggle to deal with the naturally elevated SHBG, TRT is the appropriate course of action.
SHBG typically increases with age, but things will only continue on a downward trajectory. The truth is testosterone has important cardiovascular benefits and lower levels will cause problems down the road, so yeah I would recommend TRT.
You can’t just go to any ordinary doctor for TRT, find someone who does it for a living. Please be careful some of these TRT clinics (T-mills), a lot of them are just looking to make a buck and the health of the patient is an afterthought.