In my experience, it is impossible to talk about the Catholic custom of women wearing chapel veils at Mass without encountering judgment. Progressives will insist that the practice is an outdated custom to be tossed aside. Reactionaries will declare that women who do not cover their heads in Mass are sinning and that canon 1262 is still in force.
Both are wrong.
Here is what we all need to realize about the chapel veil: it is a form of devotion to God that is only open to a woman. This means that it is a strictly feminine form of prayer that excludes men. Men who cover their heads during Mass signify a rejection of Christ; it is to dishonor His spiritual head. Even a priest who wears his biretta will remove it when in prayer: he never wears it while kneeling or while standing at the altar reciting the prayers of the Mass. Women, however, may veil at all times when in the presence of the Lord because they have a sacred role that demands their dignity be acknowledged.