Using a throwaway for this, because I know this topic is sensitive. Hello fellow HN'er :)
I'm not sharp on the definition of counter culture, but just by the feeling of "counter", I'd argue that the pickup artist community has some aspects of it. I think about game obsessively for both genders, though mostly my own (male). The following that I'm writing is true for both, but in the pickup artist community it seems that almost exclusively men are practicing it (but women could too).
A few things that feel counter:
1. You can take pro-active charge of your dating life by consciously/intentionally approaching people: on the street, in a book store, on the train, in a club, in a night club, in a bar, more or less anywhere. Especially the first 10 seconds to 2 minutes need to be scripted as you're basically talking to the autopilot of a person and not the actual person (my opinion). In normal culture, you just "naturally" meet people through friends or "it just happens". When I'm on the street and approach someone, it doesn't just happen. When I'm on Tinder even, it's optimized. The way I approach people is pre-meditated, the improv side comes out after 10 seconds to 2 minutes (there are also schools of seduction that use a fully scripted approach, I've never done that, can't talk about that. I started out with improv all the way and came to the sad conclusion that you can't do that for the first seconds to few minutes).
2. Sex with tens to hundreds to thousands of people is fine. There are a few other cultures that do this, but not the mainstream one. Note, it's not fully counter cultural here as having a GF as a goal is almost as admirable (I say almost because everyone says it is just as admirable, but the high lay count seduction guys don't care about what you have to say if your lay count isn't high because they believe you lack experience).
3. A fairly strong belief [1] that men should be dominant, leading, winning and powerful. Women are inherently submissive, caring, supporting and seen as weaker. This "seen as weaker" is even true when it comes to cognitive abilities. I don't think anyone would say it that way, but I can see it in the behavior. Such as the phrase a "girl is shit testing you." I've thought deeply about it and realized that men test as well and some tests by women are actually quite good (and others indeed utter nonsense, but that goes for both genders IMO). The thing is, I've met quite a few very appealing looking women in the US that come across as dumb, I can't put it any other way. I'm from Europe and it makes the dumb women from Europe look sophisticated (for example, they are aware of other European countries so know more about language than their US counter parts). But I personally find this whole view nonsense as my strategy is focused on finding intelligent women that are amazingly attractive as well (discussing the Bhagavad Gita on minute 3 in Florida? Yep, been there, done that :) Or what about Austrian politics and geopolitics on minute 1 in Vienna? Definitely). People exist on a distribution, but the strong polar image that the seduction community tries to create, it feels counter.
I'm a hardcore fan of 1. I'm a fan of 2, no one should be slut shamed but slut celebrated. I disagree with 3, but I'm one of the few or so it seems. With that said, all these 3 things feel "counter" to the current culture (with perhaps not 2, in a sense because when you think about it, any form of sexual expression that doesn't harm others is worthy of celebration according to feminism).
[1] Not by all, not by me anyway but I'm a complicated cookie in general for many cultures :) Careful with mapping the seduction community to me 1 to 1, it doesn't work.