Trust me, even though the page itself is new and doesn't have any Search Engine authority, Search Engines will still give more presidency to it in the SERPs if the actual Web 2.0 site itself is an authority site. That's how I'm able to get Reddit text posts ranking within the top 10 for low to medium competition keywords. If no authority is given to it, why do those pages rank high in 5 minutes or less?
As for Squidoo, well that place was a spam fest right from day one. And Squidoo become Hubpages (or rather HP acquired Squidoo). During that process, they dropped a ton of peoples pages and accounts. Mostly those that weren't really adding any benefit to the site and weren't pulling in any traffic. Those are the ones that got dropped. Although, not much unlike Google panda update, it also meant a lot of other pages were pulled and dropped too. But there is always flack in a war. I believe they call it "collateral damage".
