After quite a fuss, I was able to finally dump the SPI EEPROM, and... blank. I shouldn't be surprised. If there were something stored in it, I would have had some type of console access.
I guess since it is empty (and I needed to remove it from the board to dump it), I will be replacing it with a serial NOR flash a bit larger than the 64K.
I am in search of either source code to build U-Boot for this processor or some binary, but it seems very few have messed with the SPI boot.