Italy's a bit of an outlier due to both average age and how they count covid deaths. If we look at Germany instead, we get 3.6K deaths by car (in 2016) vs 1.8K deaths from covid. There are all kinds of different assumptions about unconfirmed cases etc, but even in the most optimistic scenarios, it's roughly the same order of magnitude either way.
But don't ignore that Germany also treat the coivd like "not the flu" if Germany would do nothing like you suggest the numbers would be larger, to honestly support your point you need to find a country that did exactly what you want (nothing or just pray) and show that the mortality is better then car crashes when the pandemic is over.