Corporate tax is one of the most damaging forms of taxation in terms of the number and size of distortions it creates in an economy and it is very damaging to national competitiveness as well. But being in favor of lower corporate tax does not preclude supporting various other wealth redistribution schemes to help the poor or reduce inequality.
If the EU is more concerned about the specific case of internet giants rather than multinational firms in general, they could tax this in a much more practical way by having state run internet service providers charge these content companies for access to their markets.