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First, your interpretations are correct.
It's still correct as per the definition. My guess is that it's easier for later algorithm to work with binary data than make the thresholding themselves as like this everyone is working on the same representation.
Yes this is correct. gmapping always uses 0 orientation. In principle you can use maps with other orientation, but I would not recommend that as as far as I known neither amcl nor the static map currently support that.