Sometimes it's just easier to be grumpy and embrace the past than it is to actually learn new things. Even if the new things are 10-15 years old alreadyIt is not that tape lasts longer. It is that analog recordings can degrade to the point of being on their death-beds and yet you will still be able to see something upon playback which gives the illusion that they last longer. A physical disk may not last forever (although with proper storage and handling even the junk media of 12 yr ago seems to stand up incredibly well), but digital data can and does since it is so easily replicated -- unlike analog data. If family DVD's are so precious and you want to pass them down to relatives, why wait. DVD's are easy to replicate and distribute to the family now which increases the number of copies in the wild. If you can't figure out how to run a PC-based duplication program, buy an inexpensive DVD duplicator which operates with the push of a button. Backup HDD's with large storage have gotten incredibly cheap -- I was in Costco last week and they had a 2-pack of 2TB backup HDD's for $90. That's enough to store over 400 DVD-R's on each drive. DVD's are encoded in a very inefficient codec (MPEG-2). If you have a limited number of super-precious DVD's one could use a modern codec (H.264 or H.265) to re-code them and shrink the physical files substantially, then upload them to the cloud where they will live forever.
The move from analog to digital has tremendous significance for long-term survival of the data. One just needs to learn the tools to do so.
It's like he is saying: "watching black and white TV in the 60's was better than today's HDTV, because there was never any dropouts and the low quality of the picture really hid the snow and ghosting"