She does not ask for the bill at the end of the story, he does. Also, she had to sell her piano; she may have been rich once, but she isn't now. He, on the other hand, appears to her to have changed for the better. She even opines that he "must have made money, too".
It is true that class is part of the issue, but there is more focus in the story on how little the characters' perceptions match...influenced by class, no doubt, but also by personality.
The male character has nearly all the dialogue, dominating the conversation, interrupting Vera (whose namemeans"truth"), and belittling Vera's perception of the world. He doesn't even notice (or have any emotional response) when she leaves at the end of the story.