Privacy Badger isn't an adblocker per se. It's designed to block trackers, not ads. Those two often collide, but Privacy Badger won't do a thing to block first-party ads (as an example).
That's somewhat different than uBlock Origin's no-ads-what-so-ever policy.
Does PrivacyBadger interfere with uBlock or vice versa? I really like this on paper but wouldn't want to fiddle too much with adding exceptions to each of them just to make sure they don't cannibalize one another.
No, they play together just fine. Privacy Badger probably doesn't do much (or anything) in addition to uBlock Origin, but it is nice to wave the EFF flag.
That's somewhat different than uBlock Origin's no-ads-what-so-ever policy.