As it stands - nothing officially is there to believe that a JF-17 was shot down or a F-16 was shot down. All we know for certain is a MiG-21 was shot down.
However, in terms of "conspiracy",
@Khafee believes 8-9 Indian aircraft were lost and theTallGuy also has a similar theory. Messiach suggested JF-17s shot down aircraft as well. Oscar also noted that something on Pak side was lost (whether people or aircraft or something else, we don't know).
How can we reconcile this info?
My own theory and attempt to reconcile this information is to think that a second engagement happened, after the PAF bombed Bipin and came back. In this second engagement, after IAF lost their Bison and a Su-30MKI, they came back for revenge and the PAF shot down 6 more aircraft. During that engagement, the IAF perhaps managed to shoot down a PAF aircraft.
Again, all of this is just unsubstantiated, theories, thoughts rumours.