I'd still say you're probably in the minority, at least where Umi is concerned here.
The gimmick was short-lived and tied directly into her personal character impetus of wanting to connect to her classmates more.
Her reputation was the result of a random (for her) encounter that left no impression for Umi, but gave everyone else the idea that she was some aloof unflappable person who even their "resident prince" couldn't get to. The reality, we see, is nothing of the sort, and Umi has already shed some of the title that others foisted upon her. But it was an excuse for her to be awkward at first, and then start the process of opening up and connecting to others who cared enough to learn the truth.
Usually, the "Ice Queen" only reveals her true nature to the romantic counterpart. Here, the (ostensible) Co-Lead already knows how she is; everyone else is learning the truth, this time around, and becoming friends with her. So there's your "cliche" already being subverted.
Beyond that, every time I've seen a male lead be a loner like you've criticized has been in some generic/mid quality 'wish fulfillment' type story meant to cater to boys' fantasy where they end up with the school beauty (or a harem) doing the bare minimum. The "Ice Queen" is usually not the protagonist, and is just the pinnacle of the school's social caste that represents the target of the ML's romance goals.
They fill different roles, and cater to different audiences. Comparing them is kinda pointless, in that regard.
You can be tired of it, sure. But my personal advice then is to read different genres, then, because you tend to only run into that particular dynamic in these school-aged romcom series.
You are explaining why the cliche happens in the story, but explaining the mechanics of a cliche doesn't make it any less of a cliche.
You mentioned her reputation came from a random encounter and everyone else foisted the title on her. That isn't a subversion, it is a minor tweak on the standard blueprint for modern 'Ice Queen' or 'Kuudere' tropes. Authors often use the 'accidental misunderstanding' narrative. It's built into the formula. (And this starting is quite common.)
The idea that she opens up to a whole group instead of just the male lead is also a massive, established staple in modern slice-of-life and rom-coms. Changing the audience from one person to four people doesn't change the underlying predictable pattern of the 'defrosting' arc.
Even If the Ice Queen persona is just a gimmick, it was used as just another a narrative shorthand because of how it starts so simply. It just gave you a, ‘the cliche starts like this,’ then transitions into the story as usual(of which the main part of this trope I’m actually fine with.)
The virgin/loner mc cliche is equivalent because even if they cater to different audiences, they serve the exact same structural purpose. Both cliches are predictable, archetypes used by authors to create instant, character conflicts. (On the contrary, even ‘The Angel Next Door’ is built upon a similar trope, but this one was indeed its premise, and people don’t think of this as mid quality.)
Telling me to 'just read another genre if I’m tired of it' basically admits that this formula is in a lot school rom-coms/sol. I know it's there, but not all have it, it’s not mandatory. God forbid I find a good manga but get told off because of cliches.
My original point was simply that I’m tired of seeing the exact same blueprint used to build these characters, no matter how much the author tries to justify it with an backstory. Personally, what’s cringe to me is not how the trope goes, it’s how the trope starts. Hence, I mentioned about the impression.
It sounds unnecessarily defensive over this specific manga when my point was about the writing cliché as a whole. I never said this manga was trash; I said the way the Ice Queen formula gets started itself is tiring. Listing every detail of Umi's backstory, again, doesn't change the fact that the author is using said blueprint. You don't need to protect the series from a structural critique by telling me to leave the genre. I’m quite enjoying this manga. The replies sound like some sort of defensive misunderstanding.
tldr:
I said it was quick for the cliche and often tired of how it starts.
The replies: Explains the cliche and that it was short. Kinda defensive for this manga specifically by elevating the impression of the story.
Conclusion:
So it’s basically what I said. With added unnecessary defense because you’re trying to use just this manga specifically as your point, but it doesn’t change what a cliche means. I’m giving the benefit of doubt that it’s a misunderstanding where you think I’m criticising this manga specifically. Because it wasn’t and that’s is why, no offense, it’s not that deep. Really.