The Ensoniq Soundscape S-2000 is know for electrolytic capacitor failure. If a game like Warcraft 2 correctly detects the card, it is very likely that you don't have a software problem. As long as the mixer levels are set correctly (you can verify them using SSINIT), Warcraft 2 should just work (TM). In Warcraft 2, the card should be able to play music using the "General MIDI" choice, and digitized sound using the "Ensoniq Soundscape" choice. If both fail to reproduce sound, the failure has to be in the analog section of the card. The digital part generating MIDI music is completely separate from the AD1848 SoundPort chip used by Warcraft 2 for digital sound playback.
By the way: The card you show is not an Ensoniq Soundscape S-2000, but an Ensoniq Soundscape Elite. The Elite has the pin-header connectors for the add-on effect processor board. The original S-2000 has no support for the effect processor upgrade. It shouldn't matter, though, as the Ensoniq Soundscape software packages you can find on the Internet are new enough to support both the S-2000 and the Elite.