In regards to exploring artists/songs (if that's what they're called) that are ambient and not ryhtmatic, for that I'd say it's something I haven't gone out searching for. I've heard such artistic entries, but are obviously not memorable enough for me to remember.
there are two distinct "kinds" of music. Music made from melody, designed to make you respond more to what notes are being played and the actual "progressions" of the chords, and music designed on simply a more cerebral, intrinsically psychological level. "Music" designed not on any melodic content, nor so much on a rhythmic content, but more on the atonal "colouration" of sounds to simulate environments; music made because the sound of a "bird" for example has associated thoughts and visualizations to go along with it. Or the sound of a train, jackhammer, rain, blowing wind, etc.
What is a "kind" of music? Music, as an artform, can take on many faces, yet it's still one distinct thing - music. An individuals interpretation of all art, including music, is entirely subjective. What I "hear" in a musical piece is totally different to the next person. Non-melodic/rythmatic music equates to an artist tossing 10 colors of paint (abstarct art) as opposed to painting a scene with a paintbrush. But, is a painting of a mountain any more/less art than a splash or colors? It's the same with music.
You have individually created an environment, and have searched out a style of music that paints a certain landscape in your mind that started as a blank slate. Well, I get the exact same thing listening to Ghost of Perdition or The Drapery Falls, for instance. My imagination is an open book, not guided by a certain style of music. I get totally lost in almost any music if I so desire. I can listen to one song, and if I heard it 20 times, I could have a multitude of dirrent feelings depending on my surroundings. When I'm in a car, my concentration on driving detracts from my concentration on the music, thus, it's a more surface listening experience. If I lay in bed in the dark with the same song, given no distractions, if the song is what i consider great for whatever reason I'm lost in it. Opeth is the only band that I can say regularly generates these feelings when I'm in the proper setting.
I think it's great that you have found a new avenue for music, yet, to me that avenue can exist with ANY style of music if you put your mind to it. At least that's my opinion.