Agreed...
The documents are not the property of the company. The document is the property of the document holder...that person being you the pilot. Therefore, if you don't do your due diligence, there can be problems.
There is another side of this coin however. The DGCA is required as a part of the operator oversight, to conduct audits of various parts of the AOC holders departments and various documentation. One such subject area of these audits happens to be personal records...licenses, medicals and training files.
We know the state of affairs with the DGCA and its ongoing problems. The documentary lapses at Jet and better than average possibility of the same lapses at the other operators will undoubtedly gain the microscopic review of the FAA and EASA. Don't look for Cat 2 to be lifted immediately.