If you lined up a competitive hill shooter or dune bike up against a purpose built dragger, it would get edged out. The reason is simple, hill shooters and dune bikes are built different for their intended purpose. Both hill shooters and dune bikes need suspension to soak up the bumps.
Drag racing is all about initial acceleration (off the line) an anything that doesn't achieve that purpose is simply adding weight. Two vehicles even similar in power output race and the one that gets the jump will generally win. To that end, suspension generally isn't required or wanted... instead you use wheelie bars to keep it from flipping over backwards when you launch the bike. Notice none of those have wheelie bars but because the sand is so soft, they're rolling off slowly? Just a different purpose built machine...