(I've been trending towards using Dreamwidth for my mostly-indepedent-rants-especially-fandom-rants, so let's lean in to that.)
(Also this isn't a full-length or fully-developed rant. Think of it as a vort, or a squib.)
A first point, To be clear -- as is evidenced from the title, my actually-holding-a-position of "stop acting like they're the saME" is sourced primarily from The View From Saturday, and not, like, actually reading the books and coming on my own to the conclusion that "they're clearly different and it's doing a disservice to them". I've found quite a few points where I realize that I'd be intolerably hipster if I was more assertive. This is one of those.
Wonderland is about nonsense that comes from authority figures,
whereas Looking Glass is about nonsense that comes from rules.
Hence why we see The Duchess ("I speak severely to my boy, // I beat him when he sneezes; // For he can thoroughly enjoy // The pepper when he pleases!"),
the White Rabbit ("Oh! the Duchess, the Duchess! Oh! won't she be savage if I've kept her waiting!"),
and the King and Queen Of Hearts ("Off with her head!") in Wonderland,
but Humpty Dumpty ("When I use a word, ... it means just what I choose it to mean—neither more nor less."),
the White Knight ("Everybody that hears me sing it—either it brings the tears into their eyes, or else—’ ‘Or else what?’ said Alice, for the Knight had made a sudden pause. ‘Or else it doesn’t, you know."),
and Tweedledee and Tweedledum ("That's logic!") through the Looking Glass.
And why Wonderland ends with Alice refusing to behave as a witness in a Royal Trial presided by the King and Queen Of Hearts,
while Looking Glass ends with Alice refusing to behave as a hostess of a dinner party attended by the Red and White Queens.
On the structural level as well -- while I'll admit I can't find a clear way to shoe-horn in Wonderland's "she walked around looking for new stuff" into this framework, you can't deny that Looking Glass's famous overarching-chess-puzzle is extremely "logic"-colored.
There's probably more I could pull for this -- and definitely evidence against it, but this seems to at least get the point across.
Alice's Adventures In Wonderland, Lewis Carroll : https://www.gutenberg.org/files/28885/28885-h/28885-h.htm
Through the Looking-Glass, and What Alice Found There, Lewis Carroll : https://www.gutenberg.org/files/12/12-h/12-h.htm
"Looking glass chess, through a bird's eyes", smodjface : https://www.youtube.com/watch?v=GgPqvnPjtic