I think you're confusing metric units with SI base units. Those are typcially the ones without any prefix (so a metre, not centimetre or milimetre). But all the prefixed versions are still metric.
Meanwhile second is the SI base unit of time, but it's not metric.
Thanks for that tidbit, I just think there's no reason to ever use centimeters. 1000mm = 1m, 1000m = 1km, 1000g = 1kg, 1000kg = 1T
But centimeters aren't timesable/divisable by 1000 to change units thus every construction site I've worked on has banned them to avoid confusion and I agree.