BlobVanDam said:but it was accurate enough to years, and to the level where nobody ever complained about it being too confusing for the audience to understand.
In reality, most people didn't know or care enough to try to understand it. This is not the same as them understanding it. It's just jumbled numbers to most people, and ended up being jumbled numbers to the writers too when the formulas they came up with ended up being flawed. This does not in anyway signify some superior form of intelligence over those who use a real life time based system that is tried and tested for how long now?
The only flaw in Trek XI's number system is that there will be a leap year every four years. But both Starfleet and The Federation are earth centric as well, so it's not surprising and makes sense, and honestly not a big deal.