I think the pelican is the LA state bird, so there's some relevance. Even so, The Pelicans sounds like a high school team name. The franchise would be making a mistake to choose that name.
The best names I've heard are The Brass and The Krewe because of their local and cultural relevance, plus both names have double meaning and sound hard ... harder than The Pelicans or the WNBA-inspired Voodoo.
I like Brass as well. Steamers is cool too. Voodoo is still my fav idea and I had heard a while ago that Benson was working on buying the naming rights from the AFL team. Guess that never went down.
Pelicans would be a massive mistake. It'd be a nice ode to the city if it's their state bird, but you can't take Pelicans seriously.