Depends on the game; its a matter of choosing the right tool for the right job.
I wouldn't want to play Breath of the Wild in first person, but at the same time, making Metroid Prime third person would greatly diminish the claustrophobic immersion that defines the experience.
I will say though that for shooters, I usually prefer first person. I have enjoyed TPS games like Gears of War and Splatoon, but most of my favourite shooters are FPS.