Yes, that's the problem.
For track cycling, each nation earns non-nominal quotas, so it's actually easier to get the right numbers than for a number of athletes.
Things are indeed more complicated for some other sports. Here's how I handle the calculations when I do the same thing for France:
- For swimming and athletics, I take the number of athletes who have achieved the A score, capped at the maximum number of athletes from a nation per event. The drawback is that we're not sure whether a nation will actually use all the quotas it has earned (for example, France almost always uses additional criteria), but this gives an initial estimate that will be refined when the official selections are announced. I don't usually take B scores (which only grant access to a single athlete) because France doesn't usually take them into account, but managing them for smaller nations could be possible, even if more time-consuming. -For shooting, it's the most complicated, since a shooter can participate in as many events as they want as long as they've qualified. For France in 2024, I considered that a shooter who obtained a quota also earned a quota for all the other events in which they appear in the ranking. But it might be more complicated to manage for so many nations and athletes.
-For weightlifting (where the number of places across all events is limited by nation), I would consider the places per event as long as the limit wasn't exceeded, and then I would consider the number of quotas as being "For the entire discipline" instead of per event.
These are, I think, the only four discipline for which a quota counter as close as possible to reality would be more complicated. But on the other hand, it's also quite complicated to do these athletes counts before the nations announce the selections, for the same reason that you put forward, since it's impossible to know if an athlete is not going to participate in several different events.
I'd never noticed this button, to be honest... Adding the total number of events wouldn't really solve my question because of these cases of events with multiple athletes per nation. Ideally, I think I'd have to add the total number of events and the total quotas to get all three pieces of information, all important in different cases, but it's definitely more work...
And honestly, I'd be delighted to participate in one way or another (within my means). I've been doing this for France for 12 years now, in an even more complex version, since I add to my accounts the athletes who would qualify thanks to a ranking if the qualification period ended now (things that are far too complex to manage for all 200 nations; especially rankings for sports with a lot of qualifiers). I also differentiate between quotas validated by the French federation—that is, where the participating athletes have been announced—and those where confirmation is pending.
Here's an example of my personal chart for 2024 (in French and for France), with "FRA!!" in yellow when the quota is confirmed, "FRA??" when it should be won but hasn't yet confirm, and in black when the quota was possible but hasn't been won: