I think it's more the size of the data rather than digital vs analog. you could have digital data stored on punch cards or say a large array of dip switches and it would last ages, but the storage density is terrible. Meanwhile disks and ssds store massive amounts of data on a very tiny space but it's prone to corruption over time.

Punch cards that are laser cut from metal would probably outlast stone tablets.

There is no fundamental difference between symbols inscribed on a stone tablet with a sharp tool versus symbols etched onto a reflective disc by a laser. In both cases you are recording symbolic information on a physical medium; they both record digital information.

The true difference between digital and “analogue” lies in the nature of the representation and interpretation of information, that is whether they are descriptions (symbolic) or analogies. The shape of the groove on a phonograph record is an analogy of a sound wave signal. The pits in a compact disc represent numerals which give a description of the amplitude of a signal at a given point in time.

Analog: https://rosettaproject.org/disk/concept/

The older M-Data discs actually claimed to use a stone data layer.

Information density tho'...