Tommy Little then put it to the pair that the whole incident could have been concocted to promote their upcoming reality TV show Jess and Lisa: The Veronicas, which premieres in November.
"This is a legal matter, not a publicity stunt," Jessica responded to Tommy.
While Lisa said she "doesn't think it helps [the show] at all".
The Veronicas described the incident as "incredibly confusing and intimidating" on their Instagram.
"The incident was escalated without explanation why from cabin staff," the statement said.
"We cooperated with all requests from authorities and exited the aircraft."
The sisters said they couldn't understand the airline's decision to remove them from the plane.
They also replied to a fan's Instagram comment about the incident: "We actually already had our bag up in the overhead. The female flight attendant wanted Lisa's bag spun around. Lisa asked the attendant if she could help assist her, because she couldn't reach it (we're only 5"1). The attendant said it was against company policy. And a lovely man behind us helped instead."
The girls continued: "Then right before take off, the flight attendant bought over the manager and pointed us out. He proceeded to lecture us about company policy. We listened and asked for their names, and they refused to give us their names and announced they were going to call security on us. We had no idea why. That's when we started filming."