The point is that we don't have to add the additional code to handle leap hours, as it can be implemented as a large swath of time zone changes.

We can imagine that there would be two versions of UTC, one before the leap hour (hereafter UTC) and one after the leap hour (hereafter UTC'). After the leap hour UTC and UTC' will coexist, where UTC' = UTC-1. Since time zone definitions themselves have UTC offsets, the trick is that instead of replacing all occurrences of UTC with UTC' (so that they would have UTC' offsets) we replace those offsets to have the same net effect. For example EST is UTC-5 before the leap hour and UTC'-5 = UTC-6 after the leap hour, so we pretend that the definition of EST changed to UTC-6.

Note that this approach essentially fixes the UTC-TAI offset (as opposed to the UTC'-TAI offset) and makes UNIX timestamp (time_t) deviate from the current version of UTC (well, UTC'). I believe this is just a matter of definition and thus much doable than changing UTC every few year. After all, leap hours would be much rare, probably the first one would occur at least a few centuries later.