Not directly what you asking for. Don't know any pdf viewer capable of
what you described.
My personal approach would be to extract pdf content to some sort of
flat text. Result would be not very visually pleasant at first.
(for that phase I would go with the tool pdftotext from poppler-tools
package - there it is in openSuSe distro at least)
On the long run, if you work with same document for significant time
it may pay off to edit it by hand and beautify to something like well
shaped markdown.
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