What kind of mobo you have for hotswap?
IMHO, many of flashers can't support AT26DF081A. I don't read all datasheet, but i see difference on command listing: AT26DF081A have only Jedec ID command, 25xxxx SPI flash have Jedec ID and Manufacture/Device ID command. Also AT26DF081A have Sector Protect/Unprotect command.
There is another problem - have you a binary file for programmer? Or you have only file, which download from intel.com?
Search on rom.by --> programmers.