There are two distinct use cases for connected wearables; nerds and athletes.
If you're an athlete then the Garmin Instinct 2 with solar will give you incredible battery life. Also consider the Garmin Fenix 7 with solar.
If you're a nerd then you won't find anything appealing with a week of battery life.
I'm not an athlete - my phone is already with me on walks and handles recording of distances and speed just fine.
I am somewhat nerdy - I absolutely find a week (or more!) of battery life very appealing, more than things like heartbeat monitoring or similar, which to me seem like they would drain the battery.
The high-capacity battery tech in a fitness watch combined with stripping out all the battery-draining fitness bells and whistles would surely give a watch that with at least a couple of weeks' battery life.
I would dearly love to find a smart watch that could handle notifications, alarms, and timekeeping, but that doesn't have all the fitness bells and whistles. And that is also not square, as squarish watches look clunky and ugly 😅
Have a look at this. I think it'll do what you need. Yes, it has fitness functions but they can be turned off to increase battery life. It has a very good screen, excellent battery life and isn't square. https://www.techradar.com/nz/reviews/amazfit-gtr-2