Yes, that is the dedicated Double Dragon cabinet. Most of Taito's dedicated games still came in fairly generic looking cabinets. The only big exception I can think of is Zoo Keeper, which came in the standard early Taito cabinet, but with either 2 color, or full color sideart.
You can still identify the converted Taito cabinets by the color scheme though. They used a unique one for each game, although every once in a while you will find an original dedicated one that is the "wrong" color.