I personally prefer third person, just because a.) it gives me a better feeling of having peripheral vision and b.) I like to see my own avatar. It's cool if other people can see my goofy hat, but I want to see my goofy hat, too.
It's not game defining for me, though. I thoroughly enjoyed playing Overwatch, the newest Doom, and the Metroid Prime games for example--even though they're first person. I just enjoy it when a game gives me the option. My friends laughed off my switching to third person view in the newer Fallouts, but hey, I like it better that way.