Just like states continually acknowledge widespread statistical errors after getting called out where they attribute deaths and hospitalizations to COVID and then someone points out that person was shot in the head or had a car accident or the kid went to ER with a broken bone?
This is called "whataboutery". It's also disingenuous.
In general, there's a fast statistic about COVID deaths, which is something like "deaths within N days of a positive PCR". This will catch some people who died for another reason, though if you think that's a serious problem, you'd need to argue that so many people could be expected to die for some other reason within N days that this would significantly bias the stat.
There's a slow stat, where COVID is a contributing or underlying cause on a death certificate. In the UK, these are in rough agreement. Notably, at the start of the pandemic, when testing wasn't available, the fast stat was an underestimate. https://www.nuffieldtrust.org.uk/news-item/measuring-mortali... has some links to the ONS and places like that.