Interesting subject. I've been an anaesthetist for more than 30 years - I am just about to retire from the NHS. I have used pretty much all the available anaesthetic agents from tricholoethylene to desflurane. I havent used xenon which is the cleanest drug but is by far the most expensive.
Desflurane was lauded as the great new hope when it first emerged - but it is expensive and is the worst greenhouse gas anaesthetic - but importantly although patients open their eyes a few minutes earlier with desflurane that rarely translates into economic savings - ie they don't actually go home any quicker - so it doesnt mean you can do more ops per day etc. The one group of patients where it does make more of a difference is in morbidly obese patients - however it is still perfectly possible to use sevoflurane or even isoflurane - it also comes down to the timing of how you give the anaesthetic drugs.
I didn't see any mention of propofol. Anaesthesia is being driven at present towards the use of non-volatile agents - total intravenous anaesthesia (TIVA) with propofol which on balance is probably better for the environment. A fair summary here
https://associationofanaesthetists-publications.onlinelibrary.wiley.com/doi/10.1111/anae.15785
My view, for what it is worth, is that the way these drugs are marketed plays more of a role than the scientific evidence behind whether one is 'better' than the other. Unless there are obvious disadvantages - like halothane which as well as causing liver damage under hypoxic conditions was also associated with heart problems. A good example is sevoflurane which, when it was introduced was 20 times the price of isoflurane without huge benefits but quickly became market leader due to the marketing.
At the end of the day, the risks of an anaesthetic are very low. On its own (ie not taking into account other medical conditions, emergencies etc), the risk of anaesthesia is very very low - almost down to the sort of level of risk of being struck by lightning. Certainly minute-for-minute you are safer under anaesthetic per minute than you are than driving a car which kind-of puts it into perspective.