I like how that one line of dialogue in Roguey's screenshot has more creativity, personality and charisma than all of Dragon Age 2's writing combined. It's kinda funny that for a company that really does not take its games very seriously and doesn't champion its writers, they still have better-written characters, lore, books, etc. than most other RPGs out there. Larian's games are constantly and consistently entertaining as far as writing goes, something BioWare never is.
Dragon Age 2 doesn't take itself seriously at all times, no. It does have humor and silliness. The problem is that the core story is very serious, as are many of the character arcs and sub-plots, yet the writers don't seem to understand how tone works and often throw bad attempts at humor, Internet memes and references, etc. into the most awkward and random spots. The execution in Dragon Age 2 is also lacking most of the time, which not only leads to huge tonal and thematic dissonance in certain scenes that are meant to be key to the story and clearly intended to be emotionally affecting for the main characters and thus the audience, it also frequently ends up being unintentionally, pants-wettingly hilarious. The bad writing itself further undermines any scenes that aren't ruined by those thematic and tonal problems, usually just leaving you scratching your head and wondering what the hell is up with all the plot holes or non-existent character motivations.