Inaccuracy isn't automatically critique. Or automatically disrespectful, for that matter. All I can think of is the overwhelming amount of the Asian popular culture I'm familiar fails to meet the standard you're trying to sketch out.
Gone would be Steven Chow's gonzo cartoon Buddhism in Journey to the West, the Zatoichi series and it's lovely & terrible gangster-and-ronin-choked Japan, gone too the most luminous kung-fu epic Touch of Zen, and all of Evangelion, for God's sake. I could keep writing this list for days.
you mean Asian popular culture made by Asian people for Asian people?
actually we shouldn't lump them in together. Stephen Chow took inspiration from Captain Tsubasa when he made Shaolin Soccer, but it's still a movie by a Chinese person for Chinese audiences. they can enjoy the movie with the understanding that it's all a fantasy, not every Chinese person knows kung fu, and obviously no one can make themselves fly through the air on qi alone. same thing with Zatoichi or Lone Wolf and Cub, very few people in Japan were like "oh man this is EXACTLY what is was like in Edo Japan all the time!" when they watched it.
we can also get into stereotypical portrayals in Asian media of Asians. in a lot of Chinese period movies that takes place in the first half of the 20th century the Japanese are the bad guys, or somehow involved with the antagonist. even in some movies with contemporary settings this is the case. this is, in fact,
very understandable and similar to how Nazis are the bad guys in a lot of American movies taking place around that time, but that doesn't mean there aren't weird stereotypes either; Ip Man comes to mind. I also saw a Jet Li movie, the Killing Angel, which takes place in then modern day Hong Kong. the main bad guy is a Japanese CEO whose shown in the opening scene... enjoying time with women wearing kimono. and in the final fight at the end of the movie? he's using a katana to fight the good guys. not to mention anime and manga and some of the portrayals of Chinese people, especially in the 80's and 90's, some of those are caricatures on the level of... that one Japanese guy Mickey Rooney played, I forget his name. actually, a recent example would be Yo-Kai Watch, a game from 2013 for children has a Chinese restaurant run by a guy with slanted eyes and broken Japanese. on the softer side of things, there's still the trope of "Japanese kid who's actually of Chinese heritage whose parents own a Chinese restaurant" and I'm sure those characters are intended to be
good representation.
the point isn't "complete accuracy", we can make characters based off tropes from Asian media and have fun with them, it's when we start portraying Asian culture at large where it becomes concerning. the more contemporary version of this would be the insistence that anime fans would be disappointed if they ever actually visited Japan (I want to post links to memes here, but I know better). another example: I sometimes watch a youtube channel, Dianxi Xiaoge, by a woman living in rural Yunnan province making traditional food using plants and vegetables from the countryside, or meat and other processed foods made by her equally rural neighbors. and I know better than to believe this is the day to day life for all people in China since some parts of China are highly urbanized with little to no wild-grown food, but sometimes the comments show some people think otherwise.