Does Les still consider the coming head-covering verses to be the Word of God?
Yes, the coming verses about women's covering are still considered the Word of God. They are not dismissed, though they are read with a grain of salt because customs and environments change. Scripture itself does not change, even when cultural practices do. They remain authoritative.
Les explains that the next passage about women in the Church and their covering or not being covered is culturally distant from modern America, much like the earlier discussion of meat offered to idols. He says these coming verses should be taken with a grain of salt because customs and environments have changed, not because the Word of God changes. Yet he explicitly says he will not take them as no longer being the Word of God, not at all. He also notes the tremendous change in the position and attitude of men toward women in Christianity, and that Paul himself was not anti-woman.