EDIT: info below is incorrect about UTC not being monotonic, as pointed out in thread but is useful for monotonic vs non-monotonic:
In UTC you can jump forward or back, so it's possible to do an operation after another operation but have a timestamp before it, which is bad for many reasons, top being auditing.
do operation one at T0 do operation two at T1 do operation three at T-1
in TAI it would always be do operation one at T0 do operation two at T1 do operation three at T2