The Sun still only illuminates part of the disk at a time. It doesn’t go below the disk at night, it’s still above the disk just too far away to see, so you get different times of day in different parts of the world.
Yes, this just raises more questions. Yes they have answers for them. None of them are good and very few of them are even internally consistent, let alone hold up to any scrutiny.
Well, yes, very clearly it’s a “man on screen said it” situation, but it’s not like that’s new.
People who repeated “ground control to {insert name}” to get the attention of someone whose mind was elsewhere didn’t believe they were actually addressing an astronaut. It’s an idiom born of the current cultural zeitgeist.