These are what we call the 'YMMV items.' Things that some people find in this work. We call them 'your mileage might vary' because not everyone sees these things in the same way. This starts discussions in the trope lists, a thing we don't want. Please use the discussion page if you'd like to discuss any of these items.
Corgan, on Machina: "Adore didn't alienate the audience, they were just sort of like, 'Oh, it's not the record I want.' [Machina] alienated people."
You can easily start a debate among fans as to whether or not the second time around, starting from Zeitgeist to Oceania and whatever comes after that, is considered truly The Smashing Pumpkins or just In Name Only.
Fan Community Nickname: "Ghost Children", based on the story of Machina/The Machines of God; also, "Pumpkinheads".
Jerkass Woobie: Corgan may be a jerk at times (as attested by throwing Pavement off a festival bill because their song "Range Life" mocked his indecipherable lyrics, his transphobic insults against custom pedal manufacturer Devi Ever, or his bizarre declaration about wanting to "piss on Radiohead" and constant insults thrown at his former bandmates), but he has had a pretty tragic life, having grown up in a horribly abusive home, spending much of his childhood taking care of his disabled brother, and dealing with severe depression, even contemplating suicide. He may be a control freak and a jerk but he seems to be desperately holding onto the only good thing in his life.
Magnum Opus: Usually considered to be either Siamese Dream or Mellon Collie.
Signature Song: either "Zero," "Today," or "Bullet With Butterfly Wings".
Vindicated by History: Corgan predicted that this would happen to Adore, and over a decade after its release, he appears to have been right.
Corgan has also mentioned that he regrets having described the album as "electronic", believing that this distorted the way people perceived it, and once commented that he believed that simply referring to it as an "acoustic" album would have caused less trouble (the album only really had one electronica song while the singles retained "1979"'s use of technology.)
The band as a whole. They were The Scrappy of alternative music for a while during the '90s for their Arena Rock influences (and Corgan's general dickery didn't help), but are much more positively viewed nowadays.
Wangst: Billy Corgan is very prone to this in his blogs and interviews. It seeps into the lyrics sometimes, but is generally considered forgivable because of the music.