Honestly thought that the hospital scene was a 'fakeout' introduction to Coil's affably being evil, but then it wasn't.
(Disclaimer: Personal opinion ahead.)
I really, really hate the combination of 'Oh god I've lost a week', and 'offscreen, something awesome/crazy happened!". It feels somewhat like a cheap way to sidestep the conflict/whatever actually happened in an effort that oft comes off as trying to be mysterious, and since we as the readers can make a somewhat decent intuition of what's coming in the ensuing 'digging up' of said information, it also drags on the subsequent chapters down as well, especially since it's key in 'upping' Taylor's access to the PF.
I don't know that Taylor's PoV would have been better, specifically, but a combination interlude of Coil's frustration as things start to shift out of control, TT's fear and slowly increasing knowledge pool of what Taylor can do, and/or their WTF-ery as Taylor gets closer to losing her shit would have at least helped in this regard, especially since you previously espoused his 'failsafe plan' to keep her contained.
But moving on....
Taylor's stay in the hospital is well detailed, though I'm curious on her even losing the conversation with Minako, Catherine, and Lisa. Just the drugs having that much of an amnesiac effect, or PF protecting her from mental trauma given what happened to Jean? (Also, the Doctor/nurse seem a bit unconcerned with a 15 year old being drugged for a week. Not necessarily unkind, but....not really caring, if that makes sense)
sidenote: would she really be calling the abandoned loft 'home' after having stayed there for a bit? I suspect it's probably a 'mad at Danny' thing, but it still felt a bit odd.
Dauntless not recognizing a girl named Taylor until the very end is odd, as unless I'm remembering wrong, the Protectorate were given more information than the Wards on Taylor, even if it didn't include her civilian ID at the time (as Assault had to figure it out on his own), at least if she's been off the grid for a week, with the ABB going on a rampage and the PRT 'having' to let the E88 go (which, uh, WTF is going on there with Piggot), they'd be searching for Taylor to make sure she wasn't on Kaiser's list for reprisal. Also, unless Catherine and Minako got hit with the same knockout stuff, saying 'oh yeah, Taylor's missing' to Vicky seems a bit underwhelming, even if in the grand scheme of things, they're small-fry.
Anywho, Taylor's level of ability with the telepathy is intuitively seemingly better than Jean's, which is good, or she'd probably lose her shit, since there's no Professor-X expy here to help.
And at the end of it all, Krouse is an utter moron. If Taylor puts 2 and 2 together with her previous sense of being teleported....But in any event, we've now got the Travellers, and Lisa if she's still up and kicking, in Taylor's debt. I almost wonder if Taylor's going to try and pull a page out of New Wave's handbook, and try and make an independent, 'oh hey look we've got shittons of money and the girl who owns it owes me big time', style hero team.
...Though, comments since the chapter about Lisa being 'confused' about Coil don't make sense. Unless the timeline's been rewritten to have Noelle just approach Taylor directly, and Lisa's now off doing her own thing and never gotten involved, that feels....wonky.
The 'blank space' still bothers me, a lot, but in the grand scheme of things, there are worse things to quibble over. If anything, I'm a little wary of the telepathy receiving the same 'strong/used-as-often as the plot demands it' metering as the precog.
Also somewhat curious on that deeply buried nugget Taylor hinted at in Vicky's head, but barring the two going separate ways, I'm sure we'll get more info on that at some point.