So substitute "ghost" for "unicorn". Then you are talking non-physical and non-physical. The argument is the same.<quoted text>
Wrong. "Extraordinary" information is not ALL information. To rule out the existence of deities requires all information, or omniscience, which is not a human faculty. The "extraordinary" information, by definition, leaves possible information unknown. The deity could not be ruled out of the unknown portion of information not included in the "extraordinary" information.
The silly unicorn example is a fallacy of logic based on category error. A unicorn is a physical being, whereas a deity cannot be "reified", or turned into a mere "thing" with physical characteristics for observation and verification.
And...BTW...how do you KNOW a unicorn is a physical being? Kinda hard to be a physical being when you don't exist. And maybe unicorns can be seen but don't have a physical existence. Kinda hard to categorize unicorns, or gods, when you don't have a hard and fast definition.
Or maybe you think unicorns are real?(The Bible says they exist.)