[plt-scheme] When are two paths equal?

I want to write a utility that recursively compares the contents of two
directory trees. I was going to check to see if applying path->string to the
members of the list of (relative) paths returned by directory-list were
equal?, but then I wonder if this is (guaranteed to be) true when the paths
themselves are equal? This would be nice because I could use member? instead
opf writing my own test. Then again, I will probably have tests comparing
file sizes and other attributes, too.
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