That just sounds like Anno Mundi with extra steps. :)

https://en.wikipedia.org/wiki/Anno_Mundi

1. Pick an epoch date so far in the past that nothing of interest could possibly have taken place before it.

2. ???

3. Profit!

The two problems with this idea are, first, that everyone argues about the exact value of the epoch; and second, that something always ends up having happened before that.

You can also invert the scheme, to get the Before Present system. This has the same two problems (s/before/after/).

https://en.wikipedia.org/wiki/Before_Present

It's better to call this Holocene Era even though Holocene didn't exactly start in 10,000 BCE, because modern humans were around for a long time prior to the 10,000 BCE epoch. Some people have proposed 8,000 BCE as an epoch, styling this "After the development of Agriculture". According to this epoch, we'd currently be in year 10025 A.D.A., which is neat.

An unfortunate suggestion of that nomenclature is that it suggests that "humanity" came into existence only 12025 years ago, which would mean that the creatures before that time were all non-human. This is especially unfortunate given that it strongly implies that, for example, either Khoisan people, Australian people, or European people are human, but not more than one of the three, since they diverged genetically before that date. While, on one level, this is merely a semantic issue about the definition of the word "human", on another level it mirrors the ideological justifications for mass enslavement and genocide that caused historically unprecedented atrocities in the 20th century (unsurpassed until Mao surpassed them), because most people's ethical systems accord special privileges to "humans", for example holding that killing any number of nonhumans is justifiable if it saves even one human's life, or, in most cases, even if it merely provides them with meat to eat.

While I don't believe the Kurzgesagt staff endorse genocide and cannibalism, I think they may not have clearly thought out the implications of their choice of terminology.

Premack's timeline that you link does not make the same error, calling it the "Holocene Era", as Emiliani did.