The only explanation that I have for this special treatment is that Babar was Mickey and Inzamam's golden child, and they have made it a matter of ego for Babar's persistence and performance. Mickey called him close to Virat Kohli and called him one of the best in the world, despite failing in test matches, he continued to select him in that format, because the promise of limited overs kept feeding into that delusion for him. When that failed he adjusted his position to play him at no.5... yet he still can't seem to perform.
Inzamam has been adamant that Babar is the no.3 we always needed in the side... yet no others are being given the opportunity to prove themselves.
We have seen what Haris did in this series and frankly he is much more deserved of the run that Babar actually got in Test Matches...