Unpopular opinion: Sherlock Holmes is not a detective. More a cold-reading mystic. More Shaman than Sherlock.
Almost none of the original stories stand up. They are great atmospheric, charismatic, characterful literature. But they are not usually rational.
In that way, Cumberbatch does a faithful portrayal.
@davidallengreen Conan Doyle was not himself entirely rational. Very much into spiritualism and seances.
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@davidallengreen As Raymond Chandler says in his superb essay The Simple Art of Murder, "Sherlock Holmes after all is mostly an attitude and a few dozen lines of unforgettable dialogue."
https://www.en.utexas.edu/amlit/amlitprivate/scans/chandlerart.html
@pieist
Pretty much Raymond Chandler too.