The FRTOL ( full ) is issued by the DGCA on the basis of the WPC RTR (A/P/C) license normally valid for 5 years
I dont think someone sitting in Sanchar Bhavan would be an expert on what the DGCA wants
If the flight school says no need then no need ( although i have a feeling they do need it because an FRTOL Full is normally only issued to someone who has flying experience )
There is something called an FRTOL R(estricted ) . This is issued by the dgca to students of the flight schools in India so that they can start flying before passing/obtaining an RT license
The FRTOLR is enough to do skill test in India and does not need the logbook copy
You will have to visit a local flight school and will need their help to obtain one