The first part of this clip addresses the position of the pillow. Doesn’t sound like it was over his face. Sounds like it was “over his head” as in above his head, toward the headboard.
That is exactly what I surmised from Poindexter's initial statement about the pillow. Mainly because he also stated that Scalia's face did not look contorted.
If the pillow was over his face, he would not have been able to see the face.