The CDC only tracks actual suicides, not attempts. Suicidal thoughts and attempts are up: https://www.aappublications.org/news/2020/12/16/pediatricssu...

Besides, in the CDC table, "unintentional injuries" is up by way more than suicides are down. This includes things like car accidents, and is a little suspicious, like suicidal behavior led to a death that wasn't classified as suicide. Also note that the table is "deaths with covid or presumed covid", not "deaths by covid": https://jamanetwork.com/journals/jama/fullarticle/2778234

everyone is at home, so perhaps there's less people alone long enough to commit suicide?

Deaths of despair increased though:

https://www.marketwatch.com/story/deaths-of-despair-during-c...

As did unintentional injury, which was due to overdoses.

Alcohol and drug abuse is way up as well, that will have long term ramifications.