Hi Anthony11,
Re-coning old speakers for jukeboxes and the like is fine.
The type of foam surround that a lot of manufacturers back in the 1980s, including Axiom, began to use seemed to last about 10 or 15 years, but it also was influenced by the climate and humidity. A competitor of Axioms who shall remain nameless introduced a very large subwoofer that used a 15-inch driver and discovered that purchasers of the product who lived in the Caribbean found that the foam surrounds disintegrated after a year or so of use.
Nowadays, virtually all quality manufacturers use a rubber composite or butyl type rubber that should last many decades.
Regards,
Alan