Also, whether it's a multiple personality or not, is Billy a genuine shy nice guy, or a passive-aggressive Nice Guy (TM) who, while less openly selfish in his pursuits of relationships than Captain Hammer, is not really any more interested in her as a person? It's a good story either way, but a very different story.
Penny, on one hand, she dates a guy who's not very subtle about what a giant Jerkass he is because he's famous and can help her with her personal goals, she's possibly emotionally cheating on said Jerkass with Billy, and she quite possibly uses her last words just to twist the knife in someone's gut. The view of her as being full of Incorruptible Pure Pureness is more Billy's projection, and looking at what she actually does shows her as flawed and shallow like everyone else in the story.
Then on the other hand, should she really be able to see Hammer's jerkiness? He's fairly low-key around her, until the press conference, where she sees it and doesn't like it a bit. Is she just using Hammer to achieve her own personal goal? Since her goal is a to help the homeless, is the manipulation unjustified?
Audience-Alienating Premise: Of the "good movie, terrible title" variety. Early on a lot of potential fans refused to watch it solely because the title "Sing-Along Blog" sounded bad. Fortunately, positive word of mouth eventually overcame the audience-alienating nature of the title.
See the Jossed entry in Trivia—that chair just happened to be in the house where they were filming.
Foe Yay: Between Captain Hammer and Dr. Horrible, who seem to take their relationship very seriously:
Dr. Horrible mentions at the very beginning of his blog that Captain Hammer is his nemesis, not some poser in a parka. Captain Hammer apparently returns the feeling as he admits in his song that everyone's villains aren't as cool as his.
"These... Are not the hammer. The hammer is my penis." One act later, Dr. Horrible taunts him with "Hammer, meet nail!" If that's not a Metaphorgotten, it's a very revealing Freudian Slip.
Harsher in Hindsight: The fan reaction to Loki in Whedon's film of The Avengers is eerily similar to how the public react to Dr Horrible in the ending, especially considering that they had the same motives (taking over the world in an effort to make it a better place) - Loki kills hundreds of people, but he's still worshipped as a villain, just like Dr Horrible was, complete with obsessed fangirls.
Misaimed Fandom: Some people, as highlighted in this essay, are arguing that a large part of the audience seems to have missed the point especially in the way it tackled the idea of Women in Refrigerators and of Billy as a Nice Guy. Billy's complete transformation into the Dr. Horrible persona is clearly and unambiguously portrayed as a tragedy; not only because of the loss of Penny, but because it costs him the very humanity that his friend associates with. Some people are still going to prefer the Well-Intentioned Extremist Dr. Horrible over the nebbish Stalker with a Crush Billy.
Some Youtube comments imply that a few people wish they could deal with their bullies the way that Billy goes on to do. This is slightly worrying, to say the least.
Moral Event Horizon: Captain Hammer dating and sleeping with Penny just because he knows it'll hurt Billy/Dr. Horrible. He might be a superhero, but this moment makes it clear he's not in it because he's a good person. This is ultimately what causes Billy to plot to kill him- not the countless times Hammer's foiled his crimes and beaten him up.
The fact that Bad Horse orchestrated the events that led to Billy and Penny's fate.
Tear Jerker: (Dr. Horrible) [singing in Act III] "And I am fine." (The look on his face and the camera's pull-away show he's anything but. He's hurting and alone.) and [singing at the end of Act III] "And I won't feel..." [the door slams shut] - (Billy) "... a thing."
"It's okay... Captain Hammer will save us."
The Woobie: Not only does Dr. Horrible get roughed up on a regular basis but takes it in stride ("... honestly, I'll live."), he suffers the emotional equivalent of a punch to the gut several times. "Penny's Song" establishes Penny as this to some extent, although she's far too optimistic to let it stick.
Iron Woobie: He's taken a ridiculous amount of abuse, and he doesn't remotely look like it. Hammer threw a car at his friggin' head!