One of the best parts of photography is the speed at which you can have a conversation with your own visual system, refining it in the process.
Understanding art can be thought of as getting bored and finding something new, which is no longer boring, and repeat. Eventually you find yourself bored by almost everything, but with an intense passion for succinct relatable expression. This is often mistaken for pretension, and many do skip the process altogether; most unfortunately, even people calling themselves artists do so.
My point is all these composition rules are great; it’s invaluable stuff. But, you will get bored of them, and that is the beautiful part.
Composition is also about tension/resolution, much like music. You can increase tension, but that doesn't mean you're actually breaking rules.
At the end of the day, I am actually a rigid rule follower in my output. Most of the rule-breaking takes place in my imagination. I find myself giggling to myself on film sets regularly, for example. Or at bus stops for that matter. This is what gets me out of bed in the morning.
"Whereas an accomplished jazz musician knows the rules, a master knows when to break them."
Which doesn't capture artistic intention, motivation like your notion of boredom, and the implied seeking of novelty, until that too gets boring.
I always heard that as well. Cinematographers love this phrase, but I totally agree. That saying leaves the concept less than dependent on personal experience. I still don’t understand why, but the purest of expressions seem to come as side effects of the engagement process; not as rewards for accomplishments. So, one must engage and be honest as they can with the act itself, which isn’t to say one must suffer, but just aim to be in touch with their own experience with the medium. I will admit I personally suffer, but it’s not helpful.
In a way, you train your neural networks to see by looking at images, then, while actively photographing you outsource decision making to your own trained neural networks. After a while you can predict the best camera position, settings and get a tingling sensation moments before an interesting situation (in street or event photography) happens.
I think we may see more algorithmic camera apps in the future, possibly AI powered.
Today we're able to take hundreds, even thousands, of ridiculously high resolution photographs of a scene. We can program our cameras to do automatic bracketing so we're sure to get the right exposure, and if not we can fix it in post. We're no longer limited to composition before we capture the photo as we can import a series of photos into Photoshop and create panoramic, HDR, composites, and just about anything else years after an event.
I think there is definitely some value in learning a few of these rules because they do help you take better pictures when you don't have the luxury of time to experiment, to plan or control your environment. A prime example is taking photos of your kid at a sporting event. Understanding lines of sight, directions of travel, the rule of thirds, and knowing how to frame the subject can really help you to capture the emotion felt in a very fleeting moment.
I've participated in online photo review communities that almost always seem to end up bickering about composition and other rules as if they were absolutes. Such discussions can often miss the underlying art, or photographer's message
Photography is an artistic endeavor, and art is strongest when it includes an intuitive aspect. That's how a photo becomes your photo, not just a nice-looking photo. And while reading art criticism can help develop intuition, it's even more important to just perceive a lot of art. Photo exhibitions, books, online galleries, etc that you view will all go into your brain and get mixed around. Then you start taking pictures and reviewing your own work, to see what worked and what didn't--for you, the artist.
To be a strong photographer, there's no substitute for just looking at a lot of photography and taking a lot of pictures. Articles like this can give you mental tools to reason about what you're feeling, but the essence of art is the feeling.
The one simple piece of advice for landscape photographers is that you're taking a picture of light. Most of the example photos in this article were taken in interesting light. A lot of them would be boring photos (despite strong composition theory) if taken at noon on a clear day.
Edit to add: I incline toward landscape photography myself, and two books that have really stuck with me are Examples by Ansel Adams and Mountain Light by Galen Rowell. Hearing (well, reading) from the artist about their decisions in making a striking image provides a more subjective perspective on photography--a good counterpoint to what I'd call a more observational or analytical approach like in the linked article.