I agree the basic offer was probably sincerely from kindness. What seems creepy is her continued insistence, her inability to relate to the human in front of her.
I suspect she is just not used to anyone acting genuine towards her, let alone contradicting her. She always gets what she wants, even when it’s a whim.
In Europe several of my acquaintances shared a bed with their professors/superior for various non-sexual reasons. It’s also a cultural thing.
I would examine why your acquaintances are normalizing such creepy behaviour.
In one case there was just that one room available stranded in the middle of nowhere.
In other cases it was due to lack of financial resources.
Go on, which culture is that? Most "cultures" in Europe I know of it would be a breach of many stated and unstated rules and norms (Germany, Norway, Sweden, Denmark, Finland, Poland, and Belgium).
Example Germany. Which law would be broken? Internal compliance rules, yes, that would be often the case.