Is it true that Kim Hye-seong’s father ran a business?

Looking at Son Geon-young’s Instagram, I saw that the closed store was called Squid Fisheries.

Squid Fisheries originally said “”Ayeaya”” and this is also the business name.

But the CEO here is Mr. Lim. Is it true that he was in business?

Everyone talks like it’s official, so I’m curious where the source is.