No it won't. Unless you ban EU citizens visiting your website and your website doesn't make business with other businesses in EU.

I strongly dislike the move too but this is true. The popups are often based on geolocation by ip. Jurisdictions with GDPR get the pop up and those without don’t. If you want to test this go to the Washington Post on an EU/UK ip and an American ip, clearing cookies in between visits and see the difference for yourself.