The other aspect to this is that Jesus as the Son of Man - if He did speak in tongues to His Father from His spirit - He would have just been using it as a devotional tongue and no one would have heard Him as it is just between the Father and our spirit. ( There would be no need for it's use as a tongue and interpretation as there was no church then )
In saying that - it is all conjecture as it no where says that Jesus spoke with other tongues to His Father - but I would not be surprised to find out that it was true - when we get to heaven...
I wouldn't be surprised either. There are those who believe that when the disciples asked Him to teach them how to pray, they were asking about tongues. It wasn't yet the time.
Checking the video.