From a guy's perspective not an operational one: what those guys trying to achieve by letting Ms. Xypolitaki riding in the jump seat? They couldn't take advantage of (to be polite) and they run the risk of getting caught either by their local CAA or their wifes (much more serious).
Maybe they should fail their next check-ride just for lying about their mental age -only teenage boys have a similar train of thought.
If they do remain fired, I am wondering how much did it cost them few minutes in the cockpit (pun intended) with a lady.
Rwy in Sight