Earlier quoted context omitted.
Calendar apps expose all of the weird edge cases in dates and times. For a specific instance of a specific event that never needs to move, TAI will work. However, suppose that you schedule a meeting for 28 March at 13:00. You then move that meeting forward a week, crossing a DST switch. If you simply add 604800 seconds to the TAI, that meeting will be at 14:00, which is surprising. OK, easy enough to solve; convert t…
I'll preface this by stating that I fully realize that localized datetime is absolutely byzantine and fraught with difficulties. That's the rationale for leaving it to an external library as close to 100% of the time as possible. I also realize that there might well be complexities involved in calendar software that I'm unaware of. Hence my comment - I'm genuinely interested to learn. That said, I think your examples…
But timezones are super byzantine. Especially when the rules update. More especially when the rules update on short notice.
If you scheduled an event at 5 pm local time at some place on some day and the rules change, the event's UTC (and TAI) would change. But you may want to confirm with the user, because maybe they're calling into an event somewhere else and they entered their local time but the event is really scheduled in the other time.
You might also have fun when multiple clients are using the same event and the clients and the server don't all agree on timezone definitions. iCalendar suggests that the timezone definition be included in the files, but my experience is definitions are often missing and most things ignore the definitions if present; you've got to include a timezone name the software is going to process as you want or you won't have a good time (or use UTC and hope)
If the event was scheduled in the DST window, the time may no longer exist, or may be ambiguous. iCalendar has rules for that, but they might not actually meet your user's needs (otoh, who is scheduleding things at 2-3am on a Sunday ... probably not a lot of people)