I'd really like to see Top significant news for the past week/month. I'd rather try to read weekly/monthly digest than consume the feed every hour/day. Is that possible?

I think the closest thing to what you want is the newsletter I send 2-3 times a week: https://newsletter.newsminimalist.com/

It's available via RSS too: https://rss.beehiiv.com/feeds/4aF2pGVAEN.xml

I attempted to make a weekly version, but quickly dropped the idea. Over the course of the week articles often became outdated (not just old, but plain wrong).

I found that an optimal newsletter schedule is sending it about every 48-72 hours, depending on how eventful that period was. With this frequency, the articles rarely become outdated, and at the same time it's not too frequent to get tired of.