"We did notice a significant amount of input lag with the streaming app feature. Receiving video over the Internet, sending back touch input, and receiving updated video frames takes some time, and you can feel it when you start scrolling or quickly change scrolling directions. Scrolling panes don't "stick" to your finger the way they do with a native app. Scrolling is about the only time the lag is noticeable, though—if you're just tapping around, there isn't a huge difference, and animations happen rather smoothly.
Since the app runs on Google servers, Google notes that all your interactions with the app get sent to Google. Google says it also "may" store this data after you close the app; the data may then be associated with your Google Account."
So they are slow and then they keep all the data to sell.