Yes. One of the authors is very clear that this is early data.

https://twitter.com/ProfLAppleby/status/1382248431272480769?...

  What is message from our new paper showing no rise in suicide in pandemic? 
  •early figures, risks remain, #suicideprevention still a priority
  •main risk is economic downturn - protecting income, jobs, housing vital 
  •MH care & community supports needed for those most at risk

https://twitter.com/ProfLAppleby/status/1382257477111140358?...

  Some cautions re our new paper on suicide post-Covid
  •England data not included, to be reported soon
  •mainly rich countries, impact may be greater in poorer parts of world 
  •early figs, we are still in mid-pandemic
  •no analysis by age, race or region