The weather improved greatly throughout my day at Schaffhausen, and I'd read that the falls are lit up at night, so I decided to give it a second look. And this was the view from the scenic Neuhausen Rheinfall station when I got back:
The falls roughly face West, so the evening is actually the best time to photograph them as the sunlight hits them directly.
Also, the boats stop at 6:30 in the summer, so we get a clearer view of the pool below, and no-one standing on the rock in the middle.
The trail on the Laufen side remains open though, so people can still see the falls up close, as described in the previous post.
The bridge on the far left of the top picture and at the back of the second picture is a rail bridge carrying the line from Neuhausen (central) to Schloss Laufen. It's no doubt one of the most spectacular in Europe, and it doubles up as a footbridge, allowing people to walk alongside some Swiss Dostos.
Oh, and they do light up the falls at night.