That is a surprising amount of complexity, really makes you glad that ISO ironed out all the details, so when I recently told our development team composed of Swiss, German, Portuguese and Danish people that we would be going live in week 4 (of 2020), everyone understood just fine. I still find it strange that some countries have not adopted week numbers. Sure, you can say something like "the week of December 21st",…
I find week numbers very cumbersome to use. Most calendars don't have them by default and most everyday interactions around dates don't involve them. As a result it's a burdensome and unroutined lookup in some arbitrary calendar somewhere just to figure out ballpark distances from current moment. I much prefer date ranges.
And if you’d grown up with it, it would be a lot more natural. Much like you probably know what month you’re in without checking your watch, I have a pretty good idea what week we’re in, and if someone says they can deliver something in week 8, I instinctively know that’s late February without having to check.
So it’s a useful shorthand in many ways.