Not so PDFs.
I'm far from an expert on the format, so maybe there is some semantic support in there, but I've seen plenty of PDFs where tables are simply an loose assemblage of graphical and text elements that, only when rendered, are easily discernible as a table because they're positioned in such a way that they render as a table.
I've actually had decent luck extracting tabular data from PDFS by converting the PDFs to HTML using the Poppler PDF utils, then finding the expected table header, and then using the x-coordinate of the HTML elements for each value within the table to work out columns, and extract values for each rows.
It's kind of groaty but it seems reliable for what I need. Certainly much moreso than going via formatted plaintext, which has issues with inconsistent spacing, and the insertion of newlines into the middle of rows.