AirBnB bookings are actually half-open, because you book a number of nights - so if you book December 1 - 3, you book the nights of December 1 and 2 - excluding 3. This seems expected to me.
However, as an AirBnB host, this bit me once because if you set that you're available on December 1, 2 and 3, guests can actually book December 1 - 4. But this is more because availability uses individual dates (almost like closed ranges) instead of half-open ranges like bookings do.
For booking flights, though, it's more like you're booking two individual flights on specific dates, it's not really a range at all, and so it doesn't really matter whether you think of it as open or closed. The flight search engine might want to check that the second flight departs after the first flight lands, but that has more to do with the flight times than the dates you enter.
However, as an AirBnB host, this bit me once because if you set that you're available on December 1, 2 and 3, guests can actually book December 1 - 4. But this is more because availability uses individual dates (almost like closed ranges) instead of half-open ranges like bookings do.
For booking flights, though, it's more like you're booking two individual flights on specific dates, it's not really a range at all, and so it doesn't really matter whether you think of it as open or closed. The flight search engine might want to check that the second flight departs after the first flight lands, but that has more to do with the flight times than the dates you enter.