There may indeed be a relationship between the speed of light and a computational limit principle.  This is not nonsensical at all since we do not have a clear idea of what spacetime really is, all bets are really off.  If the ideas of quantum measurement apply also to spacetime, then we indeed may be left with a system where spacetime (as well as the events we see play upon it) is a construction by the observer from information received over finite time periods and in finite amounts.  There would be then statistical uncertainties which should limit speeds in some contexts, since the observer cannot perceive objects traveling faster than the rate at which he/she can calculate the relationships of a background spacetime.   Traveling faster than light might be like trying to have your cake and eat it too...you wouldn't be able to observe a faster than light object because you would not have the time to create the space backdrop from information received.  Now there might be very interesting loopholes to this idea which could allow FTL in certain circumstances.  Also the fact that Euclidean space has very simple symmetric properties and there are dimensional (and likely topological) limits for the perception of such a statistical space might provide clues to how this could come about...for example a random walker will return on average only a finite number of times to the same point in a 3d or higher lattice, so it would be impossible for 3d and higher spaces to be directly perceived in such a scenario (and this is actually the case as all perception occurs via a 2d interface). The more we understand this, the better chance there is to investigate them.  A recent very interesting paper published a few years back did indeed find a speed limit for propagation of information within networks regardless of the speed of node-to-node transmission.