This came up before. There was already evidence a while back that there was no spike in suicides. It was discussed here.

From what I read, the whole "there will be suicides" argument came from those who echoed the idea that lockdowns would cause economic havoc, and that that havoc would be more catastrophic than the disease run wild. As the article points out, the possibility of depressions and suicides was another driving argument against lockdowns.

Actually at the time, the evidence of depression spiking was not among the presumed lockdown population, but came from people who were forced to work because their employment (like working for meat packing plants) was deemed essential.