But the more reasonable proposal I heard was just to call it New Years Day/Weekend, depending?
Referring to “boaty mcboatface”
The height of tides are rooted in this but have 7 day periods of increasing, decreasing, increasing, decreasing.
I don't know if thats reason enough to continue with it, but possibly part of the history
That’s a lot of tradition to discard.
For example, “our next meeting is w48.3” is much more understandable than “day 339”.
Perhaps weeks seems to make sense since we sometimes use them for offsets and ranges, like "this project will take 6 weeks" and figuring out how many days that is is inconvenient. But if we were using days then we simply wouldn't use groups of 30 or 7 for things like that, we would use groups and multiples of 10 or 5. We'd probably end up using kilodays and millidays too instead of years or minutes, and years would be arbitrary, but 51.9something weeks is already arbitrary anyways.
And as that # of weeks example just showed, .day is ambiguous with decimal fractions of a unit.
All in all I see no special obvious rightness here. It's kinda crap actually.
or 365.2425 one day months and no squabbles every 400 years. (we will however be squabbling the entire rest of the time)