*Disclaimer- I sell both of these*
I've spent an extensive amount of time on both of these boards. The Stylus is very forgiving of chop and small waves, especially for being a big board. It's been around for several years, but saw an overhaul for 2018. The previous years, the board was available in a 145/155/165. The 145 was really good, the 155 was ok, but felt a little wide. The 165 was really hard to edge b/c the inserts were set too far to the middle of the board. When you'd try edging hard, you'd have to pull up with your toes, too, which caused your shins to catch on fire in short order. Last year, 2018, they fixed that isssue and also made it avail in 150 and 160. It has a gentle concave and channels on the rails. I enjoyed it much more and no longer had issues with my shins. Though they said that there really weren't any changes for 2019, it feels somehow "better", maybe like it was a little more maneuverable than before. I rode it almost exclusively at the dealer meeting a couple of months ago b/c the wind was so light (and I'm a dainty 230 pies) and specifically asked them had something changed b/c it just felt more playful to me. I don't know what it is, I just liked it better.
As far as the Wing goes, well, this is a tried and true design that's been around for a long time. I often tell people that the WIng is a light wind board that doesn't know it. It's got *just enough* rocker to work in chop or even waves, the biggest concave of any light wind board out there and flared tips (no face spray here). There's a stiffener added for all but the last 10cm on each end. In that last 10cm, there are stiffeners that run perpendicular to the board. That allows the board to flex for pop off the water, but not "taco" when you do it. I love jumping this board b/c you can load it super hard, then launch off the water like a rocket. And it goes upwind like a machine, which is certainly important when riding in marginal winds.
Both of these are good choices if you're riding in light wind a lot and don't have/want a foil. I've been using both for a long time and I prefer the WIng 165 (also available in 155). B/c of my weight, I'm always trying to get an advantage anywhere I can, so I also got the carbon version, but the standard layup is just fine. And I've bought this board, not once, but twice. I do have to say the graphics of the Stylus are a little more appealing to me, though. For a guy from Texas, Litewave Dave has let California rub off on him.
I hope that helps you out. I like them both, but I find the Wing to be my preference. I don't know where you are, but we have both of these boards available here for demo. Good luck!