While I've read every comment and found no real flaws, I'm here to add the one thing that makes the sky different (aside from east/west delays). Conjunctions won't happen at the same time - or maybe not at all. You'll see just about the same stars (with maybe a 3 hour delay) and the local bodies will be about the same. As long as you don't try to watch the moon occulting a planet or eclipaing the sun, it'll be the same sky. The lunar eclipse in a few days will look identical though, minus some negligible differences in viewing angle of the moon's face. But the moon blocking some farther object is the only thing I can think of celestially that would be different. Just 50 miles of separation changed the perception of how the moon crossed the sun in the April 2024 North American solar eclipse. Some saw it go down, others up. The last and first sliver of solar crescent was different for everyone watching.
Orientation may flip as well if either of you is within 22N or 22S, stemming from the 22 degree tilt of the earth's rotation. Depends on season and time of day. Northern hemisphere mostly sees celestial bodies to the south, southern hemi sees them to the north, tropical sees them north, south, overhead, and crossing.
Because i/e has dumb, inconsistent rules and I've apparently I've written it wrong enough times that my autocorrect has taken it to be the correct, learned spelling. At least it's better than when it takes charge of the sentence and completely flips n't contractions. Those are sneaky and incredibly confusing if not caught.
But I keep shopping for ceiling materials and I can recognize cieling is wrong, so that's nice.