Japanese often eat animal's organs. It's not strange. My husband likes eating a kind of "nabe" with animal organs. I just... can't. It's the texture that disgusts me. Here's a link to Wikipedia talking about a type of dish that Japanese enjoy, "horumon-yaki".
http://en.wikipedia.org/wiki/Horumonyaki in English
http://ja.wikipedia.org/wiki/%E3%83%...84%BC%E3%81%8D in Japanese (with a picture)
I don't know if Ayu likes that kind of food... so I'm not sure what the magazine was referring to.