There's a huge speed difference between crossbow bolts and bullets. Crossbow bolts have a speed of 200 to 350 feet per second. Bullets have a speed of 3500 to 5000 feet per second.
In almost all Wuxia stories where guns exist, guns trump even the strongest martial arts. In 鹿鼎记, 双儿killed 风际中, whose martial arts outclassed hers by magnitudes, with a gun. Even 洪安通, who is arguably the most powerful martial artist in the novel, felt threatened enough by a Russian guard pointing a gun at him, that he released 韦小宝.
In both Fists of Fury and the 霍元甲 TV-series, 陈真 single-handedly killed an entire dojo of Japanese martial artists, but was killed by policemen with rifles.
In 碧血剑, the protagonist is one of the most powerful martial artist in the world. When he first encountered a gun, even he was aghast at its power, and thought that no amount of martial arts would defend against such a weapon.
Here's a clip from Once Upon a Time in China:
For every superhero that can dodge bullets, I can list at least a dozen more that cannot. A simple example would be your own example. In your first comic book page showing the Captain taking charge to take out the enemy weapon, it's clear that the Capt has to take charge because the other superheroes are afraid of the weapon. Hence, more superheroes who cannot dodge bullets than those who can. And like Siege correctly mentioned, superheroes abilities change depending on the writer and timeline, etc.
My original point is that dodging bullet is definitely not a universal trait of superheroes. In other words, dodging bullets is not a definition of superheroes. And I think my point is clearly correct.
About those Chinese movies and novels that you listed. As Siege correctly pointed out, most of the examples that you gave involve low level Wuxia. Especially those characters in the Duke of Mount Deer. The main star of the story does not even know anything about kungfu. Most of the masters in the story can only be considered as low level canon fodder in other novels involving Wuxia masters with almost God-like capabilities.
Then The Huang Feihong movie clip that you listed. That movie is NOT a Wuxia movie. It is a kungfu movie, where ordinary people train to achieve top-tier athletic abilities, humanly possible abilities. These Kungfu movies are simply action movies, definitely not Wuxia or superhero movies. Jet Li himself made a distinction clear when he declared to retire from kungfu movies. He thinks himself too old for the physical demand of a kungfu movie, as he believes that he's portraying an athlete and must display these abilities himself. He, however, keeps making Wuxia movies, where he simply flies around on wires. The special effects involved in making Wuxia movies makes his job a lot easier.
Jin Yong's novels came out in the 1970's and mostly downplay the Wuxia capabilities significantly to give them a human side. Then all the other novelists, like Gu Long, etc. all used similar style to humanize their Wuxia masters. This is kind of a new phenomenon. As most of the popular novels nowadays are all from the 70's and 80's and all follow Jin Yong's new style.
The true Wuxia mythology that I talk about are something close to old stories like Su Shan sword masters. People in those stories can obtain magical abilities to control their swords to do anything they can think of, including flying thousands of miles within a couple of minutes. When they fight, they themselves do not even move. They use their minds to control their swords, which then fight the swords of their opponents. They can even turn themselves into magical swords and destroy mountains... With long enough training, they can literally turn themselves into God-like figures and destroy cities and mountains with a single swipe of their swords. These old Wuxia stories were very popular 100-200 years ago and peaked during the WWII, with the famous novel series "蜀山劍俠傳" (1930-1948) as one of the best and last in such genre. And in these books, the heroes use their supernatural abilities to help people. As I mentioned before, these stories are much more than a simple origin story. That point should be obvious simply by looking at how long the novel lasted (1930-1948).
Unfortunately, most young generation born after the 80's and 90's don't even know about these novels. I was exposed to some of it because my dad is very familiar with the genre. He used to listen to storytellers talking about these stories when he was little (in the 40's and 50's when mainland still allowed such storytelling...). So I grew up listening to my dad telling me these stories. Then I got my hands on some of these novels when I was old enough to read. Its fascinating if you can accept the premise because some of these stories go on and become very crazy. I sometimes get the feeling that these novels talk about gods fighting, not human fighting, especially with all their magical devices and potions... I suggest you read some of them and get a feel of the Chinese superhero mythology. It's crazily imaginative, borderline lunatic...
. I really like the Batman Beyond suit better than his usual cape and cowl.