Actually on the 3rd of June there was 1 death attributed to COVID-19. This is very likely to increase as we get more confirmations and backfills the data. The other 73 deaths reported are confirmed cases for other days.
Yes, the data is very noisy, and yes, much of it is backfill, but elementary queuing theory suggests that if deaths by reporting date keep oscillating around the same level, deaths by occurrence date will eventually converge to that level as well.