On the aspect of physical training (not a disagreement), while I'd say most categories require
some physical preparation, Lancer Cup here has plenty of tubbies that drink (and smoke) a lot after the races.
I agree with the notion of physical activity and general sport/esport definitions, but I do think driving and its simulators have some particularities compared to other e-sports that put them in a different spot.
Last year simulator hours became obligatory to obtain a driver's license in Brazil as quite a few studies came out with the "somewhat obvious" conclusion that much like airplane simulators, they are able to 'mimic' reality to a sufficient point that you can learn how to
drive, not only mechanical aspects of it but spatial awareness and road safety too of course.
There is too the consequent point that a big part of racing is the understanding of car limits on any given track: approach speed and position in curves, breaking capacity and so on. All of those inform (psychomotor learning) all the physical movements you can improve through repetition (fine motor memory).
And that knowledge can be present regardless of input method (wheel/controller) while mimicking reality to some degree.
My guess would be that calling it a sport (along with the FIA homologation) is merely a connotative one and another step in the idea of bridging virtual:reality that started with GT Academy, and I think it's a good and sensible one. To think that the majority of entrants into motorsports are still through kart leagues (which is great but has reduced accessibility compared to videogames) when you have a platform where millions can access and at the very least (if they are not top players to get into GT Academy or win the FIA championship) become enthused to look for paths into the real thing.