Princess Eugenie’s choice to forgo a veil was strategic, I think. As one of the rare occasions she gets to wear a *tiara* - making the crown the central focus without being covered by a veil afforded her the opportunity to own her title and status.
The choice to have a public wedding was definitely making a statement. She does not merely want to blend into the background of the Royal Family.
Good point about the tiara, which was very pretty.