the html tag <table border="1" class="docutils align-center"> is generated like when using directly Docutils. But the alabaster, classic, readthedocs, agogo themes do not style it in my brief testing. When trying with Docutils rst2html.py one sees that the html file contains in its <head> some inline css spec

table.align-center {
    margin-left: auto;
    margin-right: auto;
}

but the above mentioned themes style (I checked agogo and alabaster and readthedocs) use only

.align-center {
    text-align: center;
}

readthedocs has something like

.rst-content .align-center {
    margin: auto;
        margin-bottom: auto;
    display: block;
}

Note: your mwe has wrong indentation causing failed Sphinx html build. I corrected it for my testing.

Thus this appears as deficient CSS styling in html themes (possibly on purpose).

With the alabaster theme I fixed it by creating a custom.css file in _static/ of the source repertory (assuming html_static_path = ['_static']) and with contents

table.align-center {
    margin-left: auto;
    margin-right: auto;
}

Uh oh!

Align table to center #3942

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