You would continue to use the IERS as the authority on what the true solar time is. They would continue to declare when leap seconds are, but instead of inserti

You would continue to use the IERS as the authority on what the true solar time is. They would continue to declare when leap seconds are, but instead of inserting them as a discontinuity, you would simply amortize them slowly over a long period. Like I said, if you demand high accuracy, use a timescale like TAI where seconds are really SI seconds. But very few people need that kind of accuracy. My computer clock probably already drifts more than 2ms a day. Anyone tracking time for civil purposes is just syncing from a more authoritative source anyway. My computer talks to upstream ntp servers. They could/should hide the fact that leap seconds exist from me entirely. Some of Google's ntp servers already do this.