Have you read the linked slide show? Three obvious political-style lies are included:
Page 6 - "Leap seconds interrupt normal operation of timekeeping infrastructures and are costly in staff time to implement" - no, you use NTP and it just happens! Unless the system gets broken due to bad/untested software, you need no interaction whatsoever.
Page 6 - "On June 30, 2012, every clock in the world had to stop for one second" no the fscking did not "stop", they simply stepped one second when needed. If you rely on a basic time-stamp then you might get it repeated, etc, but if monotonic time actually matters deeply for program flow or synchronisation, you use one of the system supplied functions that gives you that. (e.g. clock_gettime() with the CLOCK_MONOTONIC flag) or you implement your code to cope in other ways.
Page 12 - "and significant cost reduction in their implementation" - no, you use a system-supplied library that handles time correctly and then only one competent programmer needs to do it, and everyone else "just works". Having monkey-grade programmers implementing basic time keeping over and over again, and getting it wrong (by not RTFM) is a sign of a far deeper problem in your organisation and choice of staff.
How to we get this joker to correct this and apologies?