Baroque Space Orc Mage
I guess that's a good point. Trying to dis-entangle things in my head between "this is a kung fu movie" and "this is a kung fu melodrama."Definitley not in my experience, though different series may vary.
Another thing that fits this that I watched a few months back is Ashes of Love which is available (at least in the U.S.) on Netflix, and is based on a web novel (Heavy Sweetness, Ash-like Frost). It's typical of many Chinese dramas in that it is around 50 episodes. It's more on the xianxia scale of things, because the characters are primarily immortals - though there is an arc where some of the characters spend time in the mortal world, due to some events, without most of their immortal qualities - so it would be a higher-powered version of this, but other than that I think it fits the criteria of this pretty well. It's everything oriented around a triangle with two brothers and a woman both of them favor, though there's kind of a tragic backstory involved with all of them, I guess, because of previous generations and the stuff they did to each other and how that history plays into the principal trio. There's some sword fighting and such when there are fights, but a lot of the fighting is done with more of what I'd call essence manipulation or magic, depending on your interpretation.
If you do check it out, I will warn you that it is not without its flaws. I found it dragging at times, because of the way certain characters were focused on, and also because of how certain characters behaved becoming irritating, frustrating, or confusing to me. But that being said, I did enjoy it overall and found it a worthwhile look.
I have only watched part of it so recommending it might be pre-mature, but Ice Fantasy is also available on Netflix and is probably another xianxia-scope take on what Hearts of Wulin is about.
I reckon if you went to a site like Netflix and looked at the Chinese, Japanese, and Korean stuff available and sorted for genres like Drama or searched for things like "Korean tv show" you'd probably find a lot of options that might be good fodder for either elements you could steal for a HoW game or could directly be done in this framework.
Thinking about the magical-themed shows, Netflix, and hacking this framework to do other things, I'm now wondering what a Chilling Adventures of Sabrina hack using Hearts of Wulin would look like. If magical conflicts/duels/fights become the corrolary to martial arts fighting then I suspect you might have done a decent part of the work already. The tensions in that property definitely seem like good opportunities to build entanglements.