Quote - ...well I never parent the ballprop to camera.
A crosseye issue or not, depends on the distance between the ball and the character.

Well, well!  It worked!  I'm not sure what the critical element of the method is, but I did the following steps:

1.  loaded raw V4
2.  locked actor for both jaw parts and all tongue parts
3.  loaded ball prop and left unparented to anything
4.  pointed each eye at ball prop
5.  made ball prop invisible
6.  added frames to animation
7.  posed V4 in last frame

The flying jaw issue disappeared!

I then added raw Sapphire Fox Hair and it too followed the pose as it's supposed to.

Congratulations!  I think you've at least found a workaround!

It would be interesting to do some experimenting to see which element(s) of the strategy eliminate the problem.  It may well be keeping the "pointed at" object unparented, at least to a camera.  

OTOH, since I'm not enamored of V4, I probably won't use this fix much, but hopefully it will help others.

addendum:  just took the above scene and parented the ball prop to the main cam... the flying jaw and hair prop issue returned

addendum #2:  just changed the "point at" ball prop parent to another, new, unparented ball prop and the flying jaw problem disappeared again...