So, I love the hats of the past. The pillbox hats and hats that are similar to the headband shown above and many women frequently wear them for headcovering as I see some of the women in my parish wear who cover. Scarves too, are great for headcovering. That is what many Eastern Catholics wear, but some do wear veils.
That said, part of the reason women are choosing the veil, and most usually they are simple veils without a lot of adornment, is because the Blessed Mother veiled.
There is a desire to return to the humility and feminine type nature similar to the Blessed Mother rather than what the world suggests. It is not really a desire to bring back a midcentury clothing fashion.
As I said, covering doesn’t have to be a veil. If you are called to wear a headcovering, there are many ways, but that is mostly the reason behind the veil.