Earlier quoted context omitted.
It's okay for you to adhere to your faith. If you ask me to move my seat, you're asking me to adhere to your faith. I say let him stand; the airline should deal with it. Finding an acceptable seat for him is their problem. I don't have a booking issue with my seat. If the airline wants me to move, they should either pay me two hundred bucks, or move me to business class, or first. They have no qualms about charging f…
That is exactly what happened. In the source tweets it does not look as if any of the original by standards were asked to move. If I am wrong, please let me know. The men were not asking for the women to be moved, they were asking to be moved.
"Irritated but eager to get underway, she eventually agreed to move." (not "he")
"when the man with the window seat in the same row asked if the couple would switch positions" (i.e. asking the woman to move - admittedly only one seat over)
"before the woman acquiesced and said, ‘I’ll move.’" (not "before they found a spare seat next to a man"). In this one, it doesn't exactly say she was asked to move, but the fact that she eventually "acquiesced" does seem to imply it.
In Sources 4 and 5, it appears that the Hasidic man moved.
In none of the sources does it say anything about who did the asking and why. There's a difference between the Hasid demanding that a woman be moved, and the staff attempting to relocate the woman as an expedient way to satisfy a polite request to find a seat without an adjacent woman.