More than the # of hours involved, it's the error-prone nature of the work and the lag between when the data should be entered vs when it's actually entered.
These three factors -- hours saved, errors prevented, time lag avoided -- make me think that it's worth automating.
You're right, however, it's not clear cut it's the right way to go.
Software solutions require ongoing work: ongoing maintenance costs of a customised solution could easily be higher per year than 1 cheap FTE.