John Carmack said years ago, "I can send a packet across the world in less time than it takes to put a pixel on the screen."
Edit: Someone disagrees? I have definitely had text entry into a JIRA box slow to crawl — when everything else ran fine — because the AJAX calls had to close out before it could accept the input. Not being snarky, you can definitely be in a position where you do have to wait for your packets to finish round trips before you get your keystrokes on the screen.