The navigation system created between chapters by the <pages> tag managed by ProofreadPage is broken when Parsoid is used.
For example with [1] the previous chapter should be "Champollion étudiant" and the next "Champollion à Rome" as it is displayed in [2].
A possible cause is maybe that the page title returned by Parser::getTitle() is not the title of the rendered page (see [3])
[1] https://rest.wikimedia.org/fr.wikisource.org/v1/page/html/Champollion_inconnu%2FChampollion_poète
[2] https://fr.wikisource.org/wiki/Champollion_inconnu/Champollion_poète
[3] http://git.wikimedia.org/blob/mediawiki%2Fextensions%2FProofreadPage.git/master/includes%2FParser%2FPagesTagParser.php#L256