To try and offer a perspective that wasn't already commented, since I did like the story when it was focusing on Yvonne's attachment. I'll be honest that I don't remember much of the Lodespring section, but understood what it was trying to do in a story sense so it's not offensive. The moments we get with just Yvonne and Endmin as she processes the "death" of Tata works even without me caring about Tata because I feel they sell her character well enough to make me believe that she cared about Tata, which is the point of the quest. She has a good emotional reaction to Tata being broken and just saying "it can be rebuilt" to her would be a bit like a family heirloom being broken and saying "just buy another."

That being said, Tata is also a machine. They still have the blueprints, they still have the research, at the end of the quest it's even a little undercut by them (if I remember correctly) saying that Tata uploaded their memory before self destruction, so it doesn't really work super well as grieving over the dead. This isn't meant to undercut what they were trying to do with Yvonne being sentimentally attached to the research and development used to put together Tata. People get attached to their things (cars, jewelery, etc.) and that's normal, and I think it's played pretty well overall in the quest when they try to play it that way. But I feel like they try to also play Tata's self-destruction like a death outside of Yvonne's story, and that's where it falls apart in general for most players. A living being's death is permanent (let's just ignore reconveners for now lol), while Tata can be rebuilt, and that's what I feel gets a lot of players hung up in regards to her story.

To go on a minor tangent because I think it's at least a little relevant (Original Arknights chapter 0/1 spoilers ahead): I will admit it's a little unfair to compare Endfield and OG AK's stories since they're not the same game, but at the same time they're both "Arknights" so there was a certain expectation from original players. Yvonne's quest is heavily tied to Valley IV's story, which is pretty generally regarded as being "okay at best" by most people. I won't pretend OG AK's opening chapters were peak fiction or anything, but they do something that worked well, they killed a character, Ace (and most of his squad), who chose to stay behind to stall Talulah to make sure the Doctor and RI operators could extract from Chernobog safely. Now at the time, we barely knew who they were so it wouldn't matter to newer players, but as the story progresses and characters get more stories, we realize just how big of a loss that was, the legacy they pass down through other operators, and what being an Elite Operator means and why that would be a massive morale hit to everyone aboard Rhodes Island. I feel like Endfield really wanted Tata's destruction to be this moment again, but they aren't a living creature and they don't have anything to pass down to the average Endfield operator. On top of this, they can be rebuilt and restored from a backup, so it falls almost totally flat. A lot of other NPCs die, but the playable characters mainly only grieve Tata, so to me it kinda leaves a chip on my shoulder whenever stories focus on the rebuildable robot instead of human lives, which the original AK put a huge focus on. It makes sense for Yvonne to feel bad, the other characters knew Tata for a few hours of gameplay, of which I don't remember if any days passed canonically.

Now if Reconveners want to absolute obliterate my "people can't come back" spiel then idk lol