How to mirror directory structure and files with zero size?

GNU cp (from coreutils) can do this:

cp -r --attributes-only original_folder/* mirrored_folder/

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From man cp:

--attributes-only

don't copy the file data, just the attributes

-R, -r, --recursive

copy directories recursively

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Using find command as OP says xe is on MacOS and cp command has no --attributes-only option:

find original_folder/ -type d -exec \
    sh -c 'mkdir -p mirrored_folder/${1#*/}' _ {} \; \
-o -type f -exec \
    sh -c 'touch mirrored_folder/${1#*/}' _ {} \;

Note that find solution creates fresh directories and files unlike the cp solution that was keeping their attributes (default: mode, ownership, timestamps).