Evidence has to be scientifically verifiable, which clearly theirs isn't!
No,it doesn't. Here is the OED definition of "evidence":
noun
1 The available body of facts or information indicating whether a belief or proposition is true or valid:
e.g. the study finds little evidence of overt discrimination
1.1
Law Information drawn from personal testimony, a document, or a material object, used to establish facts in a legal investigation or admissible as testimony in a law court:
e.g. without evidence, they can’t bring a charge
1.2 Signs or indications of something:
there was no obvious evidence of a break-in