Theres nothing to the Gotti name in this except to draw viewers
1) The pool guy was introduced as someone she already knows.
2) She copped the "you sayin' I'm fat?" attitude which is why he backpedalled (like any sane man would if he wants a job, even though she wasn't justified with the attitude).
3) The 3k price was just to clean and fill the pool. The 13k price was to repair everything.
All of this was as plain as day.
You're reading something into it that simply is not there.
Not that it matters, lol. It's an amusing show. The intro cartoon is the best part.