Several reasons to support TSH's continued weightiness:

One could argue that the journey matters just as the destination does (I'm a broken record and possibly rude in doing so, sorry, but it was pertinent to this conversation I figured).

We don't actually
know Kaye is
really trying to save Chou; only that her plan involves her. I still hold suspicions that she may have something entirely different in mind. My two main theories (though my theories tend to be wrong) are that she's either (
trying to save the Kaywais that sacrificed themselves to dissection for the creation of Kayes (as indicated by the clues Pho has found...),) or something much grander involving something she knows about far-flung futures, somehow pertaining to a computer with an AI. An AI that modeled itself (conjecture) first after Kaywai (Kaye?)...

Either way it's evident that her activities, intentionally or otherwise,
do have something to do with Cursor and that very room. Part of her head (or if not, something bizarrely similar) is left behind to prove it, if the Kaywai-stylized avatar isn't enough. This may mean that her actions enable the grand perfect possible outcome to even happen, although there may be some meddling by OoO in there. Then again, there may be some meddling by a mysterious, Unicorn-esque jelly in there also...??

There could be entirely unseen consequences to the story, like how the Krawlni affects things. Meiun Nakimono only dug out the coordinates from his family library (?!)
after their "disastrous" visit to the Krawlni cosmos, and the Krawlni was also nice enough (?) to send them back to their own cosmos after the introitus room was seemingly busted somewhat (or at very least lost all connection). I mean, I could be reading too much into what happened in that specific part of the story, but it's just an example to indicate my point, which is that there's all kinds of bigger implications to be had in TSH that might've affected PDH plenty.

I'm interested in seeing what really happens with a Texto when you give him a chance, when his
virtues get a chance to reveal themselves. He hasn't been serial killin' much lately, even though he is an overly morbid fellow and busted his way out of his home splay quite merrily and viciously.
As for how it will end... I haven't a clue. I'm not sure what's implied by the terrible scene from the future- was Texto dead? And what the hell was up with Kaye? It's not very characteristic to go gun-waving, so some serious shit must've been going on. What happened to her head? And what was up with that freaky tank Chou was in, like some kind of
caged experiment? That's not what they use to make people immortal- recall Pho and Virtue's trips to the sarcophagus suntan bed looking thingy. There are a lot of mysteries about TSH, and answers to come
(although I strongly suspect Un, um, Only's participation will still be somewhat mysterious... but what I've seen so far is enough to make me feel pretty sure Chou didn't chop Uni up as Lili supposed, but rather something much weirder- and grander- happened. Maybe. I suspect it will all depend on how you look at it...).
Plus, I want to see all our heroes being, well,
them a bit more. It's fun. I like seeing these sides to these people, after being such miserable underdogs with largely terrible fates in Unicorn Jelly; Kaywai, poor lonely unrequited dreamer who sacrificed herself for Chou's plan and
definitely got chopped up; Pho, harsh military leader doing things he hates because he feels he must, and when all was said and done, a lonely man in love with someone who didn't have enough feeling to even understand what he tried to tell her (although he did die heroicly saving some people in a mine, IIRC); Texto, mentally screwed up serial killer with a sychophant buddy (at first), throwing himself into danger laughingly and then realizing all too late that "fire indeed hot" as Professy could've told him- and needlessly so, due to the following of stodgy old mistranslated codes about veil travel.
I know it's not the
same people, them having been from a far less fortunate splay, but it's kinda cool from a story perspective to see what life could've been like for them if they were dealt a different hand.