The storage media will have data integrity for 5000 years and likely none of the 25 readers will work in 25.
How many working bluray players will still be around in 2050 of the millions made to read M-disks?
Once, at an estate sale the ex wife brought me to, I saw and wanted to pick up one of those old wire recorders that used spools of stainless wire, over a mile long, to do the same job as cassette recorders but much earlier. Pre transistor so it was a clunky box of vacuum tubes. It was $10. Ex wife adamantly said "you're not picking up that trash" so I didn't. Sounds like the sort of thing an ex wife would say. But she was right about it's practical useability if wrong about it's entertainment value.
Point being that if someone picked up a mile long spool of wire with writing on it indicating that it was the only remaining copy of some important radio transmission, would it be accessible in 2050?
This exotic, obscure data storage will only be readable until the last reader is lost, after which the data will be effectively unreadable so I say this supposed 5000 year storage is really 25 year storage.