The author describes how bright they would be at night and what they would look like at different locations on the planet.
[NB I prefer Culture Orbitals to Niven Rings - largely due to everything else being in the Culture would imply.]
Edit in reply to the below, I was just about to add that same comment... that it may be a field of view thing. This additional video seems to support to that.
I think you'll see that the choice of field of view makes all the difference.
Something to ponder as well. The center of the Moon is 300000km away and Jupiter is 70000km in radius! So Jupiter would bridge almost one quarter of the distance towards us.
Our neighborhood has a triple-star system!
EDIT: Is Io closer to Jupiter than the moon is to Earth (I believe I answered this myself, I think the we would be closer in this picture by ~100,000km)? What would be the tidal effects of the depicted picture? Would we be tidally locked? I assume volcanic activity and earthquakes would at least increase and I imagine be catastrophic (if it would hypothetically replace the moon with all orbital mechanics updated to sustain a stable orbit).
If for example, Mars, eliminated stable enough comsat orbits, you could put transponders on the surface of Mars for Earth use. And vice versa, I guess.
I would imagine this would greatly complicate the design and operation of a usable space tether / elevator. With obvious exceptions like absolutely perfect tidal locking would mean its pretty easy to string a lightly tensioned rope from one planet to the other.
At some point I imagine even "launch loop" technology would get messed up gravitationally. Building a computer stabilized ultra small scale launch loop (like maybe 50 feet?) has always been an "in my infinite spare time" experiment idea. They're very stable under ideal conditions, the hard/fun part is all in the spinup/spindown and in perturbations and active oscillation dampening. You want a launch LOOP aka circle, not a launch LISSAJOUS.
There's more to life than just spacecraft, of course. But it is a kinda interesting topic.
Macabre as it is, it's really fun to think about this stuff.
Moon produces a 1m high tide in the ocean (I recollect from years ago). Moon is 1/80 of Earth mass, Jupiter is 300+ Earth masses, so 24000x as high a gravitational pull....
The Roche limit of Jupiter is apparently 242,000 km (I think I'm using the right one, at scale Earth has no tensile strength), and the closest the Moon ever comes is 363,104, putting us barely outside of it, but Earth is still getting pretty roiled.
Oh, and to be clear, when I say "unsurvivable", I mean for life in general. Certainly we're not looking at anything like modern multicelluar life, we're looking at what we today call "extremophiles", if we're lucky. This puts us 60,000km closer to Jupiter than Io, and also the Jupiter system is quite full of radiation. I don't know if Earth's magnetic field could shield us, and I also don't know what Jupiter's tides would do to it.
Interesting note: A World out of Time by Larry Niven ends up with Earth in Jupiter orbit. However, it was orbiting much further out. The Jovian system isn't necessarily intrinsically hostile, it's just this puts Earth way too close to it.
Seriously, how did they manage to take one look at their handiwork without realizing this obvious flaw?