I don't think Flickr shows it. If you use something like Exiftool you'll see fields for Focus Distance Upper and Focus Distance Lower. I believe LR uses those to estimate a distance.
I'm sure your camera records it, assuming the lens supports it (and most Canon lenses do, including the 18-55mm and even some MF lenses like the wide TS-Es and the MP-E 65mm) - that info is used for the E-TTL II flash exposure calculation.





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