Have your mate insist the instructor pulls his records and both sit down and complete his log entries. Often they are entered by the instructor whilst the student observes. Part of the paperwork training.
When you find another school the "new" CFI will request his training records and then he can cross check with the log book.
Please advise your friend to be firm with the instructor and INSIST he sits down and compiles the entries. Should he refuse, go to the CFI/CP and advise him of the problem, IF the cfi becomes testy.....advise that the next call wil be to a CASA senior FOI.
If he has no luck, please PM me.