I can confirm that Nexus Media Importer by Homeysoft worked with a generic USB OTG cable and a couple of USB drives I had sitting around. I don't know if there is a free alternative but this one seemed to work.
EDIT: Just to clarify the Nexus Media Importer worked with my Nexus 10. I had not seen a confirmation against the actual N10 so figured I would confirm.
Nexus Media Importer verified to be working with OTG USB cables.
For those who do not have root or do not want to root. Please consider getting Nexus Media Importer as an alternative. Works like a charm.
Hope this helps!
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