That map does seem pretty useful, it's certainly easier to figure out if it's quicker to walk somewhere(sometimes what looks like a long route on the tube can actually be a 10/15 min walk). Bear in mind that there's far more information on the modern map though. There's additional tube lines (e.g. jubilee, victoria, and the whole DLR) and it covers a far greater area of London.
That seems...fine? It's easily readable with all the stops clearly labeled, and you can see exactly where in London they are.
It could of course be cleaned up in a modern version, but even as-is it seems quite useful.