I sometimes describe Instapaper as "/dev/null for web content". I reflexively share to Instapaper not to read it later, but to absolve guilt for not reading it at all. It is one of my weirdest web habits, on reflection.

OTOH, back when del.icio.us was good, I used it for roughly the same purpose.

This is I think about 60% of the value I get out of Pinboard; most of what it does for me is clear tabs.

But I pay for an archive account and it does full-text search, so the other huge benefit is that when what my tabs are full of is PDF ePrint papers, I can search later for things and get results for research questions faster than I can from Google.

Agreed. I'd love to have an extension that searches my Pinboard prior to going to a search engine.

Text is small. I’d love a browser extension that archives and indexes every single price of text I come across on the internet; and lets me search them.

Falcon sound like what you're looking for: https://github.com/lengstrom/falcon