When interacting with BC.info user interface - the key shows up in "Imported Addresses" and while clicking on "Show private key" on blockchain.info it displays "Unsupported Private Key".
The 33 character private key from 2013 backup is the same as from 2020 backup.
try decoding it with base58check (base-58 encoding with a checksum) and see if it is a valid encoding and what the result is.
Thanks @pooya87, i will try it in next week when i have some more free time

Finally a hint that makes some sense.
Not deseperate to recover but just very interested to see what is it and how it ended up in blockchain.info.