On a hike to a waterfall, my friend Lenard asked if someone can play music on a Bluetooth speaker. There was no phone signal so he couldn't get Apple Music. More seriously, he couldn't even get a map to find his way home. This wasn't a problem for me.
There are many popular posts on HN complaining about Facebook these days. I don't have a problem, because I only check FB when I'm online. It can interrupt my work in the office, but not dates. I can enjoy mealtimes without disruption. I have offline Wikipedia (10GB of text on a 64GB phone) if I need to check any facts. Internet access is only needed for real-time communication, and the telephone can do that.
If you need help getting setup, give me an email at me@drsr.me.
In seriousness though, I'm optimistic for fast worldwide internet. There are new solutions for low-population density areas on the horizon. If you look at current stats, about 47% of the world are online now, up from 16% a decade ago. In the developing world it's 40% up from 8%. I actually think in some ways it's an easier problem to solve than, for example, access to clean water. I wouldn't be surprised if this reaches 90% in a decade.
I imagine bigger problems will be variance in speed and latency, and artificial restrictions on supply/metering, and product design not accounting for this. Which we're already seeing in e.g. app sizes, webpage sizes.