* On precision, he notes "almost no filesystems provide that kind of precision" (nanoseconds), but I would honestly say the exact opposite statement. ext4, xfs, btrfs, ZFS are some of the very common file systems that support this. He cites that his ext4 system only has 10ms granularity, which is most certainly not the default, but likely a result of upgrading from ext2/ext3 to ext4. As an aside, NTFS only has a granularity of 100ns.
* It is unclear what he means by "If your system clock jumps from one time to another...". If this is talking about NTP, it's probably accurate. My first reading was "daylight saving" or time zone changes, in which case, everyone uses UTC internally and such changes don't affect the actual mtimes. (You might get strange cases where a file listing regards a file modified at 01:45 to be older than a file modified at 01:20, but if you display in UTC, you can see it's just DST nonsense)