The EU could step in for the browser, that bit of common, required infrastructure needed to provide modern government services. If that was the task given, EU bureaucrats could be the best choice for managing it. Any attempt to step beyond that immediately fails at the planning stage, because conflating the infrastructure component with anything else creates a ball of mud and a political and technical black hole. Like your example, where the EU couldn't even consider it because member states haven't given the organization that particular power.