The concern about digital media compatibility and longevity is definitely valid. But even in the unlikely event that all electronics simultaneously went kaput, the knowledge to recreate working systems, as well as the materials, are still going to be there. Also, the average person has more knowledge than even just 200 years ago, not too mention the fact there is still more print media around than then too.
Yes our current global data footprint could take a massive hit, and would feel like a huge step back, but it's still going to be comparatively huge compared to any other time in history. Not so much going back to the stone age as going back to the 1980s.
Information his always degraded over time. Some being lost, some being made obsolete, some evolving (like culture). I think given our short term digital experience as a species we just find it a bit of existential crisis to view our digital data as having a shelf life too.
I always have a little chuckle at 13:37. It's one of those times that I irrationally feel I see more often than any other time, but it's just that I notice that specific set of numbers more than any other... or maybe I check the time at exactly the same point each day because my body clock is 1337!