Not too router bit friendly if you run the router too far out to the side and hit the pipe with the carbide bit. You might put a wood block on the bottom of the sled at either end to act as a stop and limit travel to between the pipes only.
In my case, I build my frame out of plywood strips and they came right up against my project. I routed a few notches in the frame by accident as I worked, so plywood was a good choice for me.
My frame was the same height on all four sides so I could route N-S and E-W and all directions in between, including sliding the sled over the corners. Pipe would not allow that, but would be rigid and very straight.
On my final pass, I intentionally tried to route radially from center to edge and leave a very slight texture to make it look hewn rather than perfectly flat. This would have been possible, but more difficult, using pipe rails.