No, warm screen light does not necessarily help sleep. In fact, research suggests the opposite may be true.
The Impact of Light Color on Sleep
Contrary to popular belief, a study published in Current Biology and led by Dr. Tim Brown found that warm, yellow light may be worse for sleep than blue light, at least in mice. This challenges the common assumption that warmer screen temperatures promote better sleep. The research directly contradicts the idea that adjusting screen color temperature to warmer settings improves sleep quality. (Reference: Findings in a study led by Dr Tim Brown and published in Current Biology suggest this is the very opposite of correct. The research, carried out on mice, appears to rubbish the notion that blue light disrupts sleep. All things being equal, warm yellow light is worse.17-Dec-2019)
While this study was conducted on mice, it raises important questions about the impact of light color temperature on sleep in humans. More research is needed to definitively conclude the effects of warm screen light on human sleep.