Yes, it was intended as a response to the OP. My point was that while science doesn't normally operate with iron-clad, perfect certainty, to whatever extent that we can identify one cause, we exclude all other causes to the same extent.
If we're, say, 90% sure that a particular person's cancer was cured by a combination of chemotherapy and radiation, then we also
90% exclude the possibility that it was cured by other means, such as the placebo effect, antibiotics, diet, "pyramid power", the magnetic fields in the patient's room, some unknown virus that feeds on tumours, or the direct hand of God.
At the population level, we can do statistical tests to come up with confidence intervals. If we find a correlation and a causal mechanism, we might be able to say with 95% or 99% confidence that effect X is caused by cause A... IOW, that 95% or 99% of the behaviour of effect X can be entirely explained by cause A.
I realize that this still leaves a small 4% or 1% gap for other causes, and God
could presumably be shoved into it. However, I think at that point, the criteria that we assume for God come into play. I don't know about
your theology, but I don't think that many theists I know would say that the God they believe in is afraid of having statistically significant effects on the world or hides from the people who look for him like a divine
Polkaroo.