>Unless you believe correlation is providing evidence of causation here:
In both cases, yes, it is evidence of causation. However the low prior probability of causation in each case massively overwhelms the evidence provided by observing a correlation.
Here's an easy way to tell if A is evidence of B: ask the inverse question - is "not A" evidence of "not B". If so, it is trivially provable that the answer is yes.
Unless you believe correlation is providing evidence of causation here:
http://gizmodo.com/5977989/internet-explorer-vs-murder-rate-...
and here:
http://www.forbes.com/sites/erikaandersen/2012/03/23/true-fa...