Well, it looks like Kyouko's mother is following her progress in the showbiz like a hawk.
Could it be that they might meet in the next few chapters?
"The father of winners" that Chiori-chan looks up to could she be talking about Kuon's father? If so it would be understandable why Kyouko-chan got a Tsuruga-san sort of vibe from the quote.
Ahh, can't wait for the next chapter! :3