Unless you want to abolish timezones entirely, which would simplify clocks but complicate a whole lot else in society, you're going to need leap-something. Would leap minutes or hours really be much better? The idea that doing things less often causes more problems is a reasonable one.
We need to do "leap hours" anyway--just today they changed to daylight saving time in the U.S.! And time zones are also adjusted every now and then, which also amounts to a one-hour change in the affected regions. Even if we didn't have continous practice with leap seconds, I think we could definitely include an extra one-hour shift for earth rotation reasons along with all the other ones.
In the 56 years since UTC was established, there have only been 37 leap seconds. At that rate it would take more than 5400 years before it would affect solar noon more than DST does. I'm more than okay kicking the can that far down the road in the name of avoiding all the ridiculous solutions that are needed to accommodate leap seconds. We've endured these headaches to potentially solve a problem for people who might not even still be using UTC.
Compare that to removing the leap day, where the start of seasons would be noticeably affected within just a few decades. Hundreds of years ago, a pretty insignificant headache was invented which is providing constant payoffs.