We are thinking about moving a server with many websites to http2. Now one concerns was that if you use http2 and download all ressources parallel that it could take longer for the browser to begin with painting / rendering the page as with only http since it is waiting for all ressources to be downloaded instead of just beginning with what is already there and continue to repaint stuff as it gets downloaded.

I think this is wrong but i found no article or good explaining so i could prove it to the ones that think this could be the case.