Correct! The Haynes manual is wrong, your synopsis is correct.
The spot light system is plugged into the main harness at one of the connectors located Next to the ZFE. It might be worth checking there for any likely faults.
This is an extract from the Fog light installation kit manual.
In that pic it shows where the fuse holder sits. That's where the fuse holder is on my 06 GSA. Seems a lot of other bikes have it mounted elsewhere. Left-hand side somewhere. Just incase yours is somewhere else.