UARSBAL, my point was that the testosterone supplement may well be doing more harm than good because it is costing you money that can be spent on things that have been specifically demonstrated to help with your primary problem of sleep that is unrestful and the reduced sleep efficiency. If there was evidence that nuclear waste —or gamma rays, whatever, LOL!— increased testosterone production, even just for the anti inflammatory effects of testosterone —even if it turned me green!— I would be consuming my share! Thankfully, testosterone has other effects, regrettably, one of the problems of a deficiency is all manner of sleep problems. Often, physicians are reluctant to prescribe replacement out of an unwarranted concern that the replacement itself will result in sleep disordered breathing. (AFAIK) that assertion is not supported by the evidence; the potential to or the ability to does not ipso facto imply causation. I suspect that pre existing sleep disordered breathing that contributed to the deficiency in testosterone production is found because they are looking for it after the treatment began; a kind of cart before the horse thing. It may well be the case that UARS may be analogous to prediabetes in terms of sleep disordered breathing. Regardless, I suspect that you are likely to encounter considerably less difficulty in obtaining help in this area (hormone replacement) if you are not consuming tribulus terrestris or horny goat weed, for example. As supplements go, besides what I mentioned previously, zinc magnesium aspartate (ZMA) has some evidence behind it concerning sleep initiation and sleep quality as well as helping build muscle mass.
You mentioned that NHS would not cover a sleep study, this seems like a gross oversight on their part as the serious sequela of sleep disordered breathing are well documented. In any case, I gave your situation some further thought and it occurred to me that a reduced ejection fraction would potentially produced interrupted sleep as well as reducing sleep efficiency and making sleep initiation more difficult. Would the NHS cover an echocardiogram? The potential causes of a reduced ejection fraction make for a long list, however, it is something that is worthy of consideration, particularly, since a sleep study will not be an option. Reduced kidney function can also result in sleep disordered breathing, however, an estimated glomerular filtration rate can be calculated from information presented in a complete metabolic panel and some basic metabolic panels —depends on the lab. If the lab does not provide an eGFR, there are reliable calculators at various sites related to chronic kidney disease. I find it curious that daytime sleepiness, a hallmark of sleep disordered breathing, when chronic kidney disease is known to result in central sleep apnea, when found in relation to high blood urea nitrogen, appears to be dismissed offhandedly when presumably it would be a reason to investigate further.
The authors of the following paper state the limitations of their work honestly and they do, later in the paper note that the ingredients for which they found some evidence of benefit, the authors also found evidence negating the observation. The authors did not seem to evaluate the quality of the research as one would do for a meta-analysis, however, I do believe the work provides a succinct and accessible source of relevant information.
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6920068/
I am not a physician, I am differently educated, either not enough or too much, I don’t know which LOL! I do spend time in the gym and, like most other gym goers, I have an interest in anything that would make my effort more productive. I wish I had payed attention to sleep and sleep disordered breathing sooner, I would have bought a BiPAP —based on what I know now— merely on principle LOL! In spite of the amount, I hope I have been helpful.