No, this is you extrapolating. You extrapolate the fact that government interventions don't result in decrease in hospitalizations and deaths to conclude that government interventions help, they just haven't been done properly. That's extrapolation.Same applies to your extraoplations ...
Also note the following from your link,
This is reinforced by our findings regarding the lack of any association with the government's actions taken during the pandemic. In that sense, the determining demographic, health, development, and environment factors seem much more important to anticipate the lethal consequences of the Covid-19 than government's actions, especially when such actions are led by political goals more than by sanitary ones. This last result however cannot predict that other types of measure would not reduce the pandemia death load.
The "government actions taken" are far too broad spectrum, they throw everthing in together both political and sanitary based. They don't specify actions as "lockdowns" and even state other types of measures they can't predict what the outcome would be. All "lockdowns" are not created equal by any means.
I state the fact that the study concluded. "Therefore, the death rate appears not to be linked with the responses of governments. "
This is a fact.
Extrapolation is entirely yours