Not to mention: if the monotonic clock can keep such accurate timing, then everyone would just use that and NTP would not be so necessary.
Really: Under what conditions do you have a usefully functioning system when the clock is so off you need to do multi minute jumps? Even HyperV, with the utterly atrocious w32time manages to keep it with a minute or two (and a Linux guest can easily have ~ms accuracy).
The leap second point is valid, but that's an argument against leap seconds which serve no use in today's society other than to introduce unnecessary problems. Even Google just gives up and purposely introduces inaccuracies in their clocks for a day so that when the leap second comes around they're synced again. A leap hour would be a far better solution, as it's something many people are (unfortunately) used to from DST, and it wouldn't bother us for a dozen centuries.