What would be best is if they delegated the 2 yearly flight completely to a FI who then endorses the logbook saying that the requirements had been met, without the need for a FE.
Otherwise you might just as well do the flight with a FE in the first place and be done with it. There are more FIs or CRIs available than FEs, and anyone who is not part of a flying club or at an airfields with an FE has to go out and find one.