The issue with the prevalence of inhalers and asthma in elite endurance sport isn’t that it’s people “treating their asthma”, which would be analogous to the cases you listed. The issue I’d draw is that inhalers and asthma treatment may have parallel benefits to endurance development and training (mitochondrial biogenesis is one that comes to mind that’s been seen in animal models), which may be of no consequence to the average runner taking a few puffs of his inhaler before a run or whatever.
However, the NOP, other shady top running groups, and of course many cycling outfits, use the “asthma treatment” in a more mechanistic, systematic part of their program. The loose regulations allow for megadosing (see Froome), and the identification of asthma as a condition gives them a free pass to abuse the really heavy-hitting PEDs with TUEs. For example, an environmental condition before a race (pollen counts with allergies are analogous) gives someone with an asthma condition the technicality on which to take a glucocorticoid to calm down his or her potential “attack” , which, for distance races, are one of the most powerful and effective PEDs you could take before a race. These cases hinge on having doctors who play ball with you (the aforementioned groups all have that).
So, it’s not so much the casual case of asthma that you see in most individuals (and any individual with ethics in line with the spirit of the sport) - it’s that the asthmatic condition has been a vehicle for pharmaceutical abuse and hacking by groups looking to game the system.