I just tried the game (wargame es), and was able to play solo in a beginner mission. I didn't go further for now, but for what I saw, I'm pretty sure there is a solo campaign and all.
Concerning Divinity, I hope it will work, but I especially took this bundle for bloodbowl (working perfectly according wine appdb) and Wargame ES (native). So any other game working will be pure bonuses.
In the worst case, I have my windows hard drive, but since I decided to play on linux only (if possible, only native too), I never launched it again. And surprisingly, I don't miss it at all, I've got plenty of gaming fun 100% native.