Here is a schematic for a CTK680... might be close to your CTK681...
http://elektrotanya.com/casio_ctk_680.pdf/download.html
Scroll down to "get manual" and click to download it. IGNORE other download links on the page.
Assuming this is the correct schematic, IC12 is shown as a TC750BF which is an open collector driver for the MIDI. If this part is bad, the MIDI output drive signal to an external device will not work. Without an external device connected, the output of this chip WILL NOT change as it is an
open-collector driver and without the pull-up of the external device the output will
remain at zero... so if the tech is testing this particular part AND the symptom is
NOT that the MIDI signal to an external device is not working, then he is on the WRONG TRACK. Often radio repairmen do not understand logic chips and their variations.