If not for religious groups, we could have had World Calendar and all this would be unnecessary: https://en.m.wikipedia.org/wiki/World_Calendar.
This would make the days of the week always cycle synchronously with the days of the month.
Then you have one day left over for New Years and that extra Leap Day every 4 years that your linked calendar proposes.
If you are going to redo something like a calendar, ending up still having different length months and weeks that drift against them seems like a non-victory.
It's also so obvious. Not sure how I missed it. I'm stealing the idea. It shall be named whiddershins' calendar.
12 is what we already have. So nothing would have to change in that regard. We could keep the names as they are, despite the fact they are out of order as it is.
I used to think the same way, but after seeing this calendar, it would be easier to integrate this into what we currently have, just the amount of days have changed.
And, this calendar would work well with businesses. Most businesses are based on quarters. Not that it is significantly more difficult to track 13 weeks (they would be static after all), the pushback would be less, arguably.
And the world calendar is cyclical, just on a quarterly scale, rather than a monthly scale. I'd argue the monthly cycle makes more sense. But the math of the Earth's rotation doesn't make for a nice calendar.
I feel the world calendar would be easier to integrate, and a little nicer (I am a huge advocate for base 12 anyway, that's always been a big hangup for me for the international fixed calendar).
The point is that specific religious leaders would oppose it because it would stop them from controlling the population. I doubt there are religious zealots in this age and era.
Do Americans, for example, feel like "a new week has started" on Sunday morning? For me Saturday and Sunday feel as one block, it's weird to imagine a separation in there.
But perhaps someone who grows up with that calendar feels like Saturday is end-of-the-week winding down, and Sunday is a start-of-the-fresh-week "warmup" day.
It seems to me we go through life with little exceptional circumstances all the time, and go right back to normal pretty easily.
Is it that hard to imagine having a holiday not disrupting the weekly rhythm of your life? For example, there's a group I go to every Wednesday. But since Christmas and New Year's are both Wednesdays, it's being skipped two weeks in a row. On the other hand, if Christmas and New Year's "didn't count" then we could carry on without changing the schedule, getting in the way of other standing plans, etc.
But go ahead, make this about how narrow-minded my view on life is. Arguments like this are why wishy-washy calendar ideas like the one being proposed got blown to bits and relegated to a single page wikipedia article barely worth the occasional mention.