If there are therapist involved in supervised visits, no F2F & a Psych report pending, I can only assume that at the least there has been allegations made.... Judges have to act on that.
That said, if the supervised visits have been going well & the psych report shows no risk, then the conclusion will be that mum is the problem & the allegations are without merit. GOOD...
Now think about this... If a therapist & a shrink give a negative report against you, no amount of your happy video chat time will have the slightest influence... On the other hand, if it's concluded that there is no risk, having a happy video chat vid won't add a jot to what the judge is going to do, BUT, it has the potential to be used against you.... Your choice ultimately. Personally I wouldn't be bringing it up in court.