How is he using "advanced CoA" when the bullets are just naturally sinking into the mass of elastic mochi that mades Katakuri's body and then falling from it? The exact same thing happens when Pedro slashes his leg without haki: he just cuts mochi. The other user is overcomplicating it this unnecessarily: the only thing that feels odd with Katakuri's "logia" is that mochi is a manmade element; in every other regard he works like one, hence why he was introduced as such but later retconed.
Luffy explicitly addresses that he can't fight Katakuri without haki and once he finds out his trick he reflects on how armament can hit the real body of a logia yet it didn't work against Katakuri because of his observation allowed him to dodge without getting hit. Never has it been hinted that Katakuri can be hit without armament; in my opinion, and since paramecia includes pretty much any power not fitting the two other classes, the only way his fruit can be a special paramecia is if he has all the properties of another class but breaks one
technicality. If Katakuri could be hit without armament then I see no reason why his fruit can't be just paramecia.
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Not an Eastern creature, doesn't fit the rest of mythical zoans (this includes Marco, in case you're thinking of him; his fruit is a modern Fenghuang more than anything).
Same way Luffy uses Armament so that he can stretch when hit with offensive Armament. Katakuri is using his Fruit and CoA at the same time to stop the bullets, then knock them back.
Interesting point about Eastern creatures, I decided to look some stuff up. Most interesting info I've found so far:
https://en.wikipedia.org/wiki/Kodama_(spirit)
Kodama (木霊, 木魂 or 木魅) are spirits in Japanese folklore that inhabit trees. The term is also used to denote a tree in which a kodama supposedly resides. The phenomenon known as yamabiko, when sounds make a delayed echoing effect in mountains and valleys, is sometimes attributed to this kind of spirit and may also be referred to as "kodama".
These spirits are considered to nimbly bustle about mountains at will. A kodama's outer appearance is very much like an ordinary tree, but if one attempts to cut it down, one would become cursed, etc., and it is thus considered to have some kind of mysterious supernatural power. The knowledge of those trees that have kodama living in them is passed down by the elderly of that area over successive generations and they are protected, and it is also said that trees that have a kodama living in them are of certain species. There is also a theory that when old trees are cut, blood could come forth from them.
Kodama is also seen as something that can be understood as mountain gods, and a tree god from the 712 CE
Kojiki, Kukunochi no Kami, has been interpreted as a kodama, and in the Heian period dictionary, the
Wamyō Ruijushō, there is a statement on tree gods under the Japanese name "Kodama" (古多万). In
The Tale of Genji, there are statements such as "is it an oni, a god (kami), a fox (kitsune), or a tree spirit (kodama)" and "the oni of a kodama", and thus, it can be seen that kodama are seen to be close to yōkai.
They are said to take on the appearance of atmospheric ghost lights, of beasts, and of humans, and there is also a story where a kodama who, in order to meet a human it fell in love with, took on the appearance of a human itself.
it's either Mythical Zoan or Special paramecia, a logia doesn't have side Tricks, He literally can survive without eating he was shown absorbing other Nutrients, 