Would they even care about not drawing attention to themselves? A Changeling about to be imprisoned is a Changeling in full panic, clawing and climbing the walls, mode.
Most of the designs don't impress and it mostly seems like it's trying too hard to be a GRITTY poke-thing which always feels like you're spectacularly missing the point y'know?
Also Idgaf tbh it was mostly just an easy target.
I'm not actually sure if that's true. I mean, in terms of how they'd react. Some are in full panic mode, others might fall apart and withdraw, others might be desperately trying to use their contacts and money, the weapons that they've used to escape the Fae before, to get through the situation.
Like, I can definitely imagine one of my characters, Lord Happenstance, if locked before trial not trying to escape and just sitting and smirking and hiring the biggest lawyer he can have, and trying to hide any hint of old panic clinging to him, because he's not the scared young man he was before, and he has money and power and that's what makes you safe. Money, power, and a dignified bearing that allows you to stand abve the boorish colonials.
Which is a long way to say that while I don't think any Changeling would react positively to the possibility of imprisonment of any kind, the kind of negative they react, and how soon they fly off the handle, would depend.
At least a few would be like Phoenix Wright villains, where they're calm and collected until they realize that they aren't going to actually bluff and bribe their way out of this, and then they just go absolutely apeshit.
"Sure, fine, throw me in the local jail while we're waiting for trial, you have nothing copper. I ain't never going back."
*one trial latter.*
"You!!!! You!!!!! *goes berserk*"