Just to offer another viewpoint, there are ways to work on playing through progressions, including ii Vs, without either playing ideas that somebody wrote down or playing ideas that somebody else played with another group of musicians (none of which were you) at another time. This
is an exercise that I got from my teacher that got me away from playing notes over a progression and actually expressing some kind of meaning and intent in a specific composition. To stop speaking gibberish and start making sense.
Once you start internalising both the melody and the progression as composed, you really do start hearing lines that embellish and connect, that may not be "part" of the harmony but still move the music forward because you are hearing them in the context of the composition. And when the line you are playing is a direct and personal response to how YOU YOURSELF are hearing the song, then you're not playing notes over a progression, you're playing music.