It's not just Green Bay but any big water. I don't own but have been in an 1850s on several outings. The boats have a lot of thought and great features built into them. I love the convertible bow and the layout is very roomy with decent storage. They ride very well for an 18 1/2' boat and when up and running are relatively dry so to speak. There's a lot to like about them however if you troll big water and find yourself trolling into waves from 1-4 mph, your gonna take some water over the nose. There's just no way around it. I also notice in those same instances you get quite a bit of spray on the windshield.
I had a Skeeter WX 1900 that was better than the Reata's in this regard but was by no means perfect. I now have a Yarcraft 186 and notice substantially better performance in regard both in dryness and taking water over the bow in those trolling situations. I spent probably 200 hours fishing out of it this summer and have not taken a single wave over the front. The down side, it doesn't take a lot for a 60" shaft trolling motor to be popping out of the water and even when I'm not using it, I have the trolling motor deployed to help better control the bow in the wind. Had I known this, I would have ordered the 72" shaft trolling motor. I guess there's always the next one, lol. Just keep in mind that a weakness on one won't be on another brand and vise versa. Buy the right tool for the right job. For me, probably 70% of my fishing is trolling for walleye's, 10% is drifting, and 20% is casting baits for pike and or bass. I believe I've found the right tool, ha ha.
Good luck in your search, there are lots of good boats and if you choose any of the major brands you'll get a quality machine. Have fun boat shopping!