I think this is also about Nature being listed side by side with free access journals, and knowing that if it says "Nature" you're going to have a bad time. They are trying to change their image a bit here, and rightly so.

Remember, this is considered the payest of paywall journals. There is almost no one else at that impact factor that could be more opposite to open access than Nature, and today we see this.

I agree that without institution access, it's hardmode to get Nature papers. I've always had great success just emailing the author. You'd be surprised at how much people like to share their work.