I had the game working with PlayOnLinux before, and I noticed that POL uses alsa instead of pulseaudio (sound worked fine with POL, but since they don’t update their wine staging versions thus Blizzard games no longer work lately I decided to switch to Lutris)
I had installed the game in another PC with Linux Mint Cinnamon and it ran just perfectly. I wonder what’s wrong with my setup, the game seems to be OK, cinematics play fine. Wine config “Test sound” button does play a sound, but the game itself doesn’t. I just installed StarCraft remastered on my Linux Mint KDE and it runs just fine, except that I get no sound whatsoever from the game.