That would mean I was believing without evidence the absence of evidence and that believing belief without evidence is the same as absence of evidence is the same as evidence of absence, which I don't. I think. Excuse me while my head explodes
As it's impossible to disprove anything it doesn't require an act of faith to think something doesn't exist. However, it does require an act of faith to believe in something without any evidence.
You are still making the mistake of treating the hypothesis as testable, which is in itself a statement of faith, as it is an assumption taken a priori (that is, without knowledge) and applied.
The default position on an hypothesis that has not or cannot be tested is not that it is false. That's the result of application of assumptions, nothing more, and hence is a statement of faith. The correct, faith free position is that the hypothesis is untested, and that if it is untestable, probably irrelevant, and the status remains untested. You can't declare either the hypothesis or the null hypothesis to be true on anything other than faith. What the nature of that faith is may change, but the actual position is still faith based.
and the stateus remains unde anyway.