Paid academic journal editors are rare exceptions.

From one of your own links:

    Carol Barnes, professor of psychology and neurology at the
    University of Arizona in Tucson, is a reviewing editor at
    the Journal of Neuroscience, a 3-year appointment for which
    *she receives no compensation*.
    (…)
    Barnes has received funding from the university to hire an
    assistant to provide clerical support to assist her with
    the manuscript review process. She considers herself
    fortunate, because "without this help, I would have had to
    decline this position."

Not only she was still paid by the university for whats seems to be a full time job during 3 years according to the article, but in addition to that the university, not the publisher, paid for an assistant to this job!

That journal appears to be owned by a non profit.

And I can assure you that the situation is similar with journals owned by Wiley, Springer, and Elsevier, for examples.