Earlier quoted context omitted.
Actually it's a little of both. You do have to guide it by hand according to the map it shows, however it will correct small deviations from the path allowing relatively accurate cuts. It has two huge downsides over a regular router: you have to place marker tape (quite expensive) all over the workpiece, and it will stop working once the marker tape is cut. Also, you have to keep guiding it throughout the process so…
I just don't see a router table serving a similar need. Unless by that you mean a CNC like a Shapeoko or similar, rather than one of those tables with a fence and a router poking up underneath it. As far as a lack of space, there's ALWAYS a lack of space at maker spaces. :-)
Hand router buddy, they exist. Router tables are generally used for edging/mitering/straight cuts. Hand routers are for doing narly shit preferably you want one with plunge capabilities so you can just ram it down where the cut starts and you don't have to pre-drill or cut it in from some angle.