The weight of evidence; two cans of coffee, 3 loaves of bread. 4 bottles of wine, and so on. The containers are countable but not the contents.The ' weights of evidence' would be wrong because 'evidence' is an abstract concept. We can't touch 'evidence' but 'types of evidence' such as hair samples, photographs, documents are countable.
My impression of conjecture is that it involves forming an unconfirmed hypothesis or jumping to a conclusion—but that it doesn't necessarily involve presenting evidence selectively in order to support that conclusion (as in the posted question).
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