"This video shows an aspect of reality that Ms. Jenner continues to deny," the lawyers for Howe's stepchildren, Dana Redmond and William Howe, said in a statement to ET.
On Thursday, Jenner's laywer, Philip Boesch, told ET that they stood by the statement given shortly after the accident: "Caitlyn's comment is true and up to date: 'My heartfelt and deepest sympathies go out to the families and loved ones and to all of those involved or injured in this terrible accident. I will continue to pray for them and I will continue to cooperate in every way possible.'"
Jenner has not been charged with any crime and the Los Angeles County Sheriff's Department continues to investigate the case.
Howe's family said they would continue pursuing their lawsuit against Jenner, which accuses her of being "careless, negligent, and reckless" and seeks unspecified damages.
"Our clients are moving forward with this lawsuit to give a voice to Kim Howe who was killed as a result of Ms. Jenner's actions," attorneys Jeffrey Wolf and John Sheehan said in the Howe family statement. "Ms. Jenner has failed to appear for her noticed deposition, so we are surprised to hear that she intends to cooperate in every way possible with this investigation. We encourage Ms. Jenner to be that role model that she seeks to be. That means accepting responsibility for what she has done."
The 65-year-old former Olympian, who was uninjured in the crash, filed a response to the suit on May 22. His response said that while the car accident was a "terrible tragedy," the plaintiffs are "financially independent and successful adult stepchildren, ages 60 and 57, living and working and residing out-of-state for decades." Therefore, the response argued, the two cannot claim that they were financially dependent on their late stepmother.