Service Worker requests are intercepted as well. In some occasions this leads to a completely broken website.
Given the power of Service Workers intercepting them might be a good idea, but when this leads to the site becoming completely unusable, it should be turned off for the time being.
Screenshot: Smashing Magazine, renowned news site, inaccessible due to PB blocking its Service Worker.

PB version: 2016.12.15.1
Browser: Firefox 50.1 (Linux)
Hmm, that's strange. Privacy Badger shouldn't be blocking any service workers unless they are from a third party domain which is also blocked by privacy badger. Will have to look into this deeper.
I don't know, what exactly triggered the issue. Apparently the owner himself uses PB, too.
@Boldewyn @liocalset is this still an issue? I'm unable to reproduce it on my first try.
For me, yes. Firefox 54.0, PB 2017.6.13.1. But I see it exclusively on Smashing Magazine.
According to https://bugzilla.mozilla.org/show_bug.cgi?id=1499523#c4, this will be fixed in Firefox when "Service worker e10s redesign" is complete. We may release workarounds in Privacy Badger before then, however.
A related uMatrix issue: https://github.com/uBlockOrigin/uMatrix-issues/issues/72
Looks like this affects the new Twitter experience (mobile.twitter.com) as well, sending users into a redirect loop or bumping them to a log-in page even when they're already logged in.
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According to https://bugzilla.mozilla.org/show_bug.cgi?id=1499523#c4, this will be fixed in Firefox when "Service worker e10s redesign" is complete. We may release workarounds in Privacy Badger before then, however.