I don't know you, you make a very successful app that people really swear by. I have no qualms about people using f.lux, if you want to take your $4,600 laptop and $1,400 phone, on which people spent decades perfecting color reproduction, and you're paying $13/mo for Netflix to watch shows with multi-million dollar budgets and dedicated colorists, and you start watching Orange is the New Black and you make it yellow, that's your prerogative. So you don't need my opinions, so don't downvote just because you like f.lux and hate opinions.
Why did you have to say anything about cancer at all?
What's your personal line for, "I'm not sure" versus "This is actionable evidence for change in behavior?"
There is no clinically controlled evidence showing that interventional blue light, the kind that would be emitted from an LED, causes significant change in sleep quality with measures like minutes spent sleeping or an insomnia scoring system. I found this by searching "blue light" and "sleep" in clinicaltrials.gov. There are 4 or 5 studies on the matter, all negative results. The best way to interpret this evidence is that blue light will not make you sleep less or experience insomnia more.
Indeed, if you consulted a doctor, you might learn that waking up too early is the most common sleep disturbance in adults. This interferes with their daily lives, by causing them to feel drowsy in the middle of the day. That's why blue light is typically investigated as an intervention: to get people to fall asleep and wake up later. It just doesn't turn out to work for that. Its absence is not causing people to fall asleep earlier either.