> data dumps from local governments that could have been machine-readable, or announcements that are distributed in print and emailed as PDFs, rather than lifting the content into the message body.
You should thank PDF for giving you any useful electronic copies at all.
If it's scanned-in papers, sticking them loosly in an e-mail or web page would be much more difficult to read through.
If it's text data, then perhaps it was primarily composed to be printed, and PDF allows easy creation of readable electronic copies with minimum of effort from any input. Before PDF you might have gotten nothing at all, because most people don't have readers for various obscure proprietary input formats.
And PDF is far easier than other formats to convert into another format for your own consumption. Do you have a command-line tool which will extract the embedded images out of a Microsoft Word document? Or one that will convert it to plain text, preserving formatting? pdfimages and pdftotext -layout are very widely available.