He's likely been in the offensive zone more than Connor this season, and has actually produced points at a higher rate, too.
Lemieux certainly has his limitations, but after a very poor first 10-15 games in terms of shot metrics, he's been quite a bit better over the next 20 games or so. Overall, his rel CF% is only -2.86, which isn't terrible for a 4th liner, especially when you discount the shaky first 15 games or so.
I think he's being judged a tad harshly around here when you look objectively at his performance this season so far. He's been a net positive in penalty differential, is scoring at a 2nd line rate, and over the past 10-15 games he's above 50% on CF.