Yes the notes are in a random sequence. The "chords" appear to be chosen as major or minor triads, with random inversions or random "common intervals" like octaves, fifths and fourths, I don't think I've ever come across a tritone or "wierd" intervals.
I have gone through various phases in how it feels to play these random notes. Right at the beginning there is obviously the mechanical skill of just being able to put your fingers in the right place. This is less pronounced on piano than guitar, since single notes on the piano are obviously pretty easy for anyone. But when I switched to chords, I definitely felt the feeling I remember from learning the guitar, where the campfire chord shapes seemed to be just impossible to achieve with my fingers.
Keep in mind that this is not the only thing I'm doing to learn - I am also learning pieces, playing arpeggios and scales and studying music theory. Lately I've been gaining speed on the random notes by identifying runs and reading ahead a bit like you're describing.
I am quite proficient at guitar, played in a band and did a lot of pop music playing where you're handed a lyric sheet with chords and you have to just play. I can do that pretty much without prep. I can also "sight read" tablature for reasonably simple finger picking for novel songs quite a bit faster than I am able to do it on piano at the moment. I could never quite get there for traditional notation although I tried. I struggled to improve because once I knew the piece, I could play it without reading the music. So I would laboriously figure out the fingerings, then just play the piece from memory once I had done that. This was all happening in the early 1990s so I also didn't have the glut of music we would have now. Tablature was much more available for the pieces I wante to learn than traditional notation. I guess there is a mode where you force yourself to only learn new pieces all the time, but I found that pretty frustrating coming from zero.
I'm finding with piano, now that I have the notes in my fingers, that first step is much less frustrating and I can focus on building the mechanical dexterity to execute the phrases and remember the music.
I have gone through various phases in how it feels to play these random notes. Right at the beginning there is obviously the mechanical skill of just being able to put your fingers in the right place. This is less pronounced on piano than guitar, since single notes on the piano are obviously pretty easy for anyone. But when I switched to chords, I definitely felt the feeling I remember from learning the guitar, where the campfire chord shapes seemed to be just impossible to achieve with my fingers.
Keep in mind that this is not the only thing I'm doing to learn - I am also learning pieces, playing arpeggios and scales and studying music theory. Lately I've been gaining speed on the random notes by identifying runs and reading ahead a bit like you're describing.
I am quite proficient at guitar, played in a band and did a lot of pop music playing where you're handed a lyric sheet with chords and you have to just play. I can do that pretty much without prep. I can also "sight read" tablature for reasonably simple finger picking for novel songs quite a bit faster than I am able to do it on piano at the moment. I could never quite get there for traditional notation although I tried. I struggled to improve because once I knew the piece, I could play it without reading the music. So I would laboriously figure out the fingerings, then just play the piece from memory once I had done that. This was all happening in the early 1990s so I also didn't have the glut of music we would have now. Tablature was much more available for the pieces I wante to learn than traditional notation. I guess there is a mode where you force yourself to only learn new pieces all the time, but I found that pretty frustrating coming from zero.
I'm finding with piano, now that I have the notes in my fingers, that first step is much less frustrating and I can focus on building the mechanical dexterity to execute the phrases and remember the music.