True, but that requires a level of abstraction that appears to elude a lot of people.
Just one recent example that came up. The United Nations once released an estimate that 5,000 children a month were dying in Iraq from the sanctions imposed. This estimate, whose accuracy is arguable, was nevertheless firmly accepted by those who opposed our actions in Iraq at the time. It showed up everywhere.
Now, many of the same people are unable to create the logical bridge that would tell them that, at the very least, according to their own premises, 5,000 children a month are no longer dying in Iraq, thanks to our actions.
There are other examples like this.