I also suspected that might have been the case, along with the possibility of a bad USB port (so I tried three other ports, also) – but sadly neither of those appears to be the issue.
The three different cables I mentioned in the first post were:
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the one that came with the Clip Sport
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the one that came with my Fuze+
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the one that came with my Kindle.
All of which do data transfer, and all of which I have used successfully with my Fuze+.
Thanks for looking, though – I appreciate it!