>people pulled over with a game playing on their phone or a movie

How common do you think that really is?

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>cop will see that and ticket for distracted driving.

If a cop sees you reaching for or using your phone after getting pulled over, they could do the same thing. This is one of those infractions that is 1000% based on the word of the cop. And, as I already pointed out, encouraging people to reach for something that might be out of the way is probably going to raise suspicion.