There have been some suicides because of the pandemic, not the lockdown (although I agree that the Australian, New Zealand, East Asia approach was less hard on mental health than our repeated long lockdowns).
I don't know if any have happened here, but one poor man in North America killed himself after finding his long covid symptoms too unbearable.
Bereavement can trigger suicidal thoughts.
I've definitely read of a few suicides due to fear of catching covid and preferring what they hoped would be a less painful or at least quicker death.
I know lots of frontline NHS staff have been suffering trauma. A number of ICU nurses have been sectioned because of this. Don't know if there's been any suicides but it wouldn't be a surprise sadly.