Very valid question. I asked the same thing half a year ago when I first learned this song, see my question and Gio’s reply in this thread.
In short: the tab is showing quarter notes, but if you listen to the song, you’ll hear that the guy is playing 8th notes. Gio’s explanation was that the note durations are usually not exact in modern music transcriptions. You are expected to listen to the song and figure out how long each note should be played.
By the way this is the case with ABITW as well. Take a look at the first bar of the repeating pattern for example (with the dotted quarter note), and listen to the song. That’s a quarter note and an eighth note rest in the song, not a dotted quarter note. And beat 3 is not a quarter note either, it’s an eighth note.
Those might have been mistakes then, because other than the above, I thought I was following the transcription. 
Which parts(s) are you referring to?