I think that would be the expectation of most non-engineers, assuming they set the new time zone before arriving and if they even considered edge cases like that. It's also how most alarms work, whether mechanical or digital.
I think that's pretty hard to do in these post-concord days?
Though if you lived close to a time zone border it could be a problem. There are towns straddling the Queensland-New South Wales border in Australia. There is a one hour time difference between the states for half of the year (NSW does daylight saving, QLD does not). I've always wondered how local businesses deal with that.
> It is incredibly easy to arrive hours before you leave. Just fly East across the dateline (like Aus to North America).
Or use a fast plane going west (Concorde used to take ~3h for London to NYC, and NYC is on UTC-5, so passengers on Concorde would arrive "2h before they left").