This technically is a true claim, and the referenced article by Los Angeles Times is a decently reliable source. Most notably, the article titled “Op-Ed: sleep deprivation is an important part of our youth mental health crisis” by Los Angeles Times, references many credible sources towards the articles main claim including a research done by sleepfoundation.org on how later school times have a positive impact on sleep (also touching on the positive impact on mental health from more sleep and vice versa). The article also includes data from the CDC (Centers for Disease Control) on the matter, referencing a study done, and statements from the director of the sleep center at Seattle Children's hospital. These of which are the strongest reliable sources, however the article references several more pieces of evidence for their claim (not their own individual study). It is important to mention however that even if study done by the CDC does technically provide evidence for the claim made, the focus of the study was more centered around poor mental health in relation to the pandemic.
“Mental Health, Suicidality, and Connectedness among High School Students during the COVID-19 Pandemic - Adolescent Behaviors and Experiences Survey, United States, January–June 2021.” Centers for Disease Control and Prevention, Centers for Disease Control and Prevention, 31 Mar. 2022, www.cdc.gov/mmwr/volumes/71/su/su7103a3.htm#:~:text=More%20than%20one%20in%20three,12%20months%20before%20the%20survey.
The author of the article is Lisa L. Lewis, who is a journalist and author that specializes in the topics of: sleep, mental health, wellness, and a variety of other related ideas. Most significantly, she wrote the book “The Sleep-Deprived Teen” and was an advocate for the law that was passed implementing limitations on school starting times in California. https://www.lisallewis.com/
Using this information about the author we can deduce that there appears to be a slight bias in the article towards the idea that mental health and sleep are correlated, however, it is factual information (as seen from reliable sources linked) that they are indeed correlated and that the claim the article makes is objectively true regardless, and is verifiable further by looking into the vast amount of articles provided from reliable sources. The claim that sleep deprivation is a crucial component of the rise of mental health issues among youth is technically true in that mental health and sleep deprivation do indeed have a correlation in which mental health among youth is badly impacted by poor sleep habits, however the exact measure of how crucial sleep deprivation in particular to mental health is difficult to discern.