I use regular sharps for piecing and quilting.
If you notice that you're getting skipped stitches when using a universal needle on wovens, switch to a sharp and your skipping will almost always go away.
Universal needles were supposed to be the "easier" way to sew both knits and wovens without having to keep sharps and ball points. In practice, they don't sew wovens as well as sharps and they don't sew knits as well as ball points. Even sharps sew knits better than universals.