The Raspberry Pi does not need a keyboard or monitor; it can run "headless", and you can ssh into it to interact with it. I think the more general point is that once you provide a web interface to anything, you can interact with it from varied clients (PC, handheld, ...), and you can interact remotely. The oscilloscope could directly provide a web interface, which would obviate the need for this Raspberry Pi intermediary. Our routers and other appliances already do this; presumably oscilloscopes etc. will do so, soon.
So the point here is to replace PC with Rasberry Pi board, correct? But you need to have a monitor and keyboard to input some info and observe what you are doing. That sounds like you are effectively building a small cutom PC out of the Rasberry Pi being a new motherboard, did I get that right? Kris