I can't speak for other countries, but I can tell you as a trans man my experience of accessing testosterone on the NHS
I had a very long list of the effects and potential risks of taking testosterone spelled out to me, including what is and what isn't reversible, including impact on fertility, including some stuff which isn't even a proven side effect but might possibly be. I had this explained to me in two separate appointments with two different clinicians - both of whom then asked me to explain the effects and risks back to them to ensure I had heard and understood. I then had the same conversation all over again with an endocrinologist. I was then asked to read and sign a consent to treatment form which spelled out the risks and side effects again.
Oh, and before I even had a first appointment I was sent an information pack which also spelled out what testosterone does and what the risks are.
I am monitored with blood tests every six months, and my prescription would be stopped if I didn't comply with this. I also have follow-up appointments roughly every 6 months to check my general wellbeing and that I'm happy with the changes (these won't continue indefinitely but are routine for the first few years of treatment and won't stop until I want them to). I can also contact the GIC for medical or psychological support in between these follow-ups should the need arise.
I can compare this with the experience of taking oestrogen HRT which I was on before starting testosterone (since cancer stole my ovaries) - had a ton of horrible side effects no one ever warned me about, no monitoring of bloods, had to chase and chase to get any support, and the only advice I got from my GP was to keep increasing the dose (with the results that when I finally did get a blood test my oestrogen levels were through the roof).
So yeah. Can confirm gender clinics are way better at prescribing hormones than GPs are. I'm sure that'll be a relief for you all to hear given your great all-encompassing and ever present concern for the health and wellbeing of trans people.