No. Not unless. You misunderstand what all cause mortality means. The state can count COVID19 deaths as all bungee-jumping related the number still shows up in the total death rate. If you know what is the usual statistic you can show if there is an effect.

This is what “dead is dead” mean. One can argue what should count as a COVID19 case, and how exactly we are counting. There is a lot less argument over who is dead and who is not.