Something clicked for me around year two of wire wrapping, and it was this: stop trying to design the whole piece upfront. I used to sit down with a plan, get halfway through, and hate it. Now I build one section at a time and let the next section respond to what the last one actually looks like.
My working method is simple. I pick three or four beads that share a color family but differ in shape, like a carved focal piece, some teardrops, and a couple of ribbed spacers. Then I wrap a short coiled bar or drop assembly, hold it up, and only decide the next element once I've seen it against the light. Half my best pieces came from a bead I'd swapped in at the last minute because the original choice felt flat. Also, make your own beaded links instead of using plain chain everywhere. Even simple wrapped loops with a single bead between them break up the metal and pull the whole palette through the strand. It's fiddly at first but it becomes muscle memory fast, and it's the single biggest thing that made my necklaces stop looking like every other beginner piece.
Try committing to one experiment per piece. A new loop shape, an odd bead count, whatever. Some attempts fail and go in the scrap jar, but the ones that work become your signature moves without you even planning it.