People wouldn't know or care which to pick. They would see the pop-up asking to select a phishing protection provider, would get confused and angry and think "where do I click to get past this pop-up, I want to go on Facebook and this stupid computer is nagging me with stuff again!"

Phishing protection is mostly needed for people who have no clear concept of phishing or technicalities. They just want to do things on the internet, like social media, they don't care about things behind the scenes, that's boring uncool nerd stuff.