The band played it safe with Papercuts. 90% of the tracks scream "you know us for this". Rather to try to impose their own tastes. ATS is the band's favorite record but they know casual fans still doesn't like it, it makes sense that WFTE is included, since it's very amicable. Even though tracks likeCatalyst and WTCFM are GREAT, somebody used to "classic" LP might find it weird. WFTE is a good teaser for those who really have curiosity.
The saddest part, of course, is that they even don't trust in THP. I don't think they hate it, but everything related to that album was a trainwreck. It makes sense that omitted it.
But the biggest oddball is Qwerty. I have the theory that, thanks to the success to Lost, LP knows that casual fans crave for that heavy-yet-catchy sound. Giving them an obscure track that reminds to the Nu Metal era, makes some sense.