“The story began badly,” said the smaller of the small girls, “but it had a beautiful ending.”

“It is the most beautiful story that I ever heard,” said the bigger of the small girls, with immense decision.

“It is the only beautiful story I have ever heard,” said Cyril.

A dissentient opinion came from the aunt.

“A most improper story to tell to young children! You have undermined the effect of years of careful teaching.”

“At any rate,” said the bachelor, collecting his belongings preparatory to leaving the carriage, “I kept them quiet for ten minutes, which was more than you were able to do.”

“Unhappy woman!” he observed to himself as he walked down the platform of Templecombe station; “for the next six months or so those children will assail her in public with demands for an improper story!”

–“The Storyteller,”
Saki

How does the character of the bachelor add to the satire of "The Storyteller”?

His character provides humor in the story by revealing human weaknesses.
His character is greatly exaggerated to make fun of single men such as himself.
He exposes the aunt’s flaws by telling an improper story that occupies the children.
He exposes the aunt’s hypocrisy and ineffectiveness by being mean to the children.