Aargh, I was deliberately avoiding the T-word.
Right, I'm not into Belle & Sebastian but I remember in the Twee thread (before it degenerated into an argument about whether or not jam enthusiasts are worse than Nazis) some B&S fans saying that although they pioneered the twee aesthetic, they're actually very untwee exactly because of this dark undercurrent. While real hardcore tweeness, if that's not an oxymoron, is all about what a lovely day it is and how pretty that girl is and ooh look a butterfly and hey let's build a campfire! Or so the argument goes.
Whereas (based on one listen of three songs) I wouldn't say Woebot's stuff is twee. More glacial actually, some of it was even skirting Joy Division territory. Maybe.