Confirmed tonight that Fry's fuel station CSRs CAN reload Kroger GCs, even though the fuel stations here do not sell any type of GC. It's 50/50 on whether the CSR knows how to do it (between stores and shifts, 2 CSRs were willing/able to do it and 2 claimed they couldn't do it). It shows up as "FUEL G/C RELOAD" even though these are normal Kroger GCs, usable in the store as well as the fuel station. I did a balance check afterwards which confirmed the reload.

Hopefully I'll be able to use the receipt from this successful load to prove to other CSRs that it's possible and get them to try to figure it out.