I don't think it's the age of the EEPROM that matters as much as how often it's been written or how long it's held the same data. I
we're now talking about a different beast. an EEPROM doesn't need UV exposure to erase it, but uses an erase voltage. there are a few basic types of devices commonly referred to as EPROMs (including two types that can't be erased):
PROM Programmable Read Only Memory. this device cannot be erased and is programmed only once. basically a matrix of "fuses", and once burned (as a matter of fact this device is the source of the terminology of "burning" a device) cannot be reprogrammed.
Masked PROM this device is programmed using an optical mask during the fab process. i think this process is only used in the manufacture of microprocessors and SOC devices.
EPROM Erasable PROM this is the device with an erase window. this is the type of device we've been discussing in this thread (mostly).
EEPROM Electrically Erasable PROM this device uses an erase voltage (often a higher voltage than what is normally used in the device during operation) to reset all the bits. some types require the higher voltage to be applied during programming as well.
Flash ROM this device is basically what a thumb drive is. it can be written, erased or changed at will using the normal operating voltage. also used as NVRAM (NonVolatile Random Access Memory).
this isn't an exhaustive list. there are many different sub-types and different techniques used, and they all have different data retention and re-usability characteristics (for instance there is a type of Flash that erases if the device is unsoldered).
with the EPROMs that are optically erasable, there is another reason to use a sticker over the window. silicon junctions are photosensitive, and an EPROM can develop "soft" errors if the chip is exposed to light during operation. i've actually had this happen where a machine would operate normally with the cabinet doors closed, but the machine would lock up if the doors were open. one of the EPROMs in the machine had lost it's sticker, and when exposed to light during operation, had a tendency to flip random bits. putting a new sticker on the EPROM solved the problem.