I agree - have you seen the dashboard (
https://coronavirus.data.gov.uk/) - the figures could be cooked but I'd say this is quite transparent information. No idea if any other countries have similar.
Agree on the cutoff, I was referring to cases where they don't get details of the death till much later because they have to contact next of kin etc first which can sometimes take months. Only when that process is complete can they be added to the statistics.
There should definitely be a cut off, it won't be 400% accurate but will give us something. Seems the lead time is 3/4 weeks from infection to death but some go on ventilators so a cut off around 6 weeks would seem appropriate. They could always maintain 2 data sets (with and without the cut off applied so people can see both).