My house had quite old (likely 1980s) coax home runs and it worked flawlessly. All I did was change out the entry (root)splitter for one that had a point of entry filter. I’m not sure that was even needed, but it seemed sensible and was not expensive or difficult.
It will be less the age of the actual cable, and more the standards used when cabled. The largest issue is likely to be splitters behind the wall that limit frequencies passed through.
Usually those can be found in the wall boxes behind the plate - but not always!
These used to be a bane on cable modem installs for apartment complexes, but the situation should generally be better 25 years later...