I wouldn't expect this to be better tasting than a regular soup/stew. If you keep eating it, new stuff added today has been almost completely consumed in a week.
I would eat it out of respect for the craft and the values that are being preserved.
Seems reasonable to conclude that people might do it to say that they did it, for the same sort of reasons why one might get a warm pint in a run-down, cramped, 500-year-old pub instead of a cold pint at a newly-opened, comfortable pub