Byungkyu explained that Bora is usually the type of person to look relaxed (in the way where she looks like she doesnt have any strength). In the making video, she seemed to walk unstably so Byungkyu offered to hold her so that she can lean on him and walk. so they got caught and it started the rumor. Bora shared that they usually joke around, she knew that he was joking at that time she slightly pushed him away but bc she saw the camera she smiled. All of that caused a misunderstand.
you're mixing up some points. Byungkyu wasn't joking when he held her, he just did it because it looked like she was about to bump into something, and Bora is the type to not like that kind of skinship so she pushed his hand away but she saw the camera so she smiled instead. And people took the smile as being surprised or getting butterflies, but she was just looking nice in front of the camera. The joking part is when they saw the making video and Bora asked Byungkyu as a joke that there's a dating rumour, how does he feel.
More exactly Bora said she is "sorry to say this to Byung-gyu", but she "usually doesn't like skinship(touching friendly) and that's why she pushed him away little" lol So funny that only the man looks quite excited to tell the story while others facial expressions don't.