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The problem is, we can potentially be meant to doubt something in order to reach a truth; it's possible to "tell the truth by lying." So if you say you approach Umineko by not believing anything Beatrice says, you might be able to reach the truth if Ryukishi was banking on the truth being reachable by doubting her.
Most of what you're proposing is a meaningless exercise because there's insufficient information to know with certainty the author's purpose with respect to conveyance of the truth and whether it could be attained through different forms of reasoning. It's possible both can lead to an appropriate conclusion.
It's also possible to rationally weigh the evidence and author's statements which have been presented and determine that it is more likely than not that, say, the truth does not exist. It's not because a person is doubting as an immediate response, but because attempts not to doubt have been fruitless and evidence suggests there may not have been any purpose to attempting to find anything.
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