One Question Mailbag: The Committee's Approach

Someone asked me a question in a DM on Slack, I started to answer it, and then I realized it would make for a great One Question Mailbag. So I quickly answered his question in a DM'd response and now I will elaborate on that answer here. Here's the question he sent me:
Could you address whether the committee considers injuries and illness when they look at a teams record and decide seeding? Without looking deeply I wonder what games one might discount because of players being sick or injured and whether that might change the seeding.
~Dave T.
It's a complicated answer. And I think the best way to describe how I look at it is to give you my overall view of the NCAA Committee before I answer your specific question.