From the test added in,
https://gerrit.wikimedia.org/r/c/mediawiki/services/parsoid/+/627392/4/tests/parser/citeParserTests.txt
SUB<sup about="#mwt4" class="mw-ref" id="cite_ref-theName_1-1" rel="dc:references" typeof="mw:Extension/ref" data-mw='{"name":"ref","attrs":{"name":"theName"},"body":{"html":""}}'><a href="./Parser_test#cite_note-theName-1" style="counter-reset: mw-Ref 1;"><span class="mw-reflink-text">[1]</span></a></sup>
MUL<sup about="#mwt6" class="mw-ref" id="cite_ref-theName_1-1" rel="dc:references" typeof="mw:Extension/ref" style="display: none;" data-mw='{"name":"ref","attrs":{"follow":"theName"},"body":{"id":"mw-reference-text-cite_note-theName-1"}}'><a href="./Parser_test#cite_note-theName-1" style="counter-reset: mw-Ref 1;"><span class="mw-reflink-text">[1]</span></a></sup>Both have id="cite_ref-theName_1-1"