It all catches up though, so trends will still be visible. I believe in some cases there are multiple tests to ensure recording is accurate.
The very young girl who died the other day, apparently didn't have Covid in the end, but died of a heart attack, the parents going to press too soon. So, if true, that shows how careful you have to be.
There is also a difference in country reporting. Germany for example as only showing those who died "of" Covid, not "with" Covid. So if they presented with many co-morbidities, or extreme old age, even if they happen to have Covid, that is not shown as the primary cause of death. Whereas in Italy, everyone who is dying is basically dying of Covid if they are confirmed to have it in their system, regardless of whether they were at deaths door anyway.