I have listened to the clip 3 times now, and it seems to me that Morgan Freeman is pronouncing "white" exactly as I would say it, along with "why" etc, using the [to me] normal aspiration of "wh". However, I pronounce "whom" as "hoom"; not as "whoom".
Maybe I misunderstand the point you are trying to make. I am Scots, and I find that most English people tend to pronounce all words beginning with "wh" as if the "h" were absent. Thus "when" becomes "wen" and "whether" is "wether" etc etc. I'm sure there are specific terms for these differences, but I'm not familiar with them.