On the drag strip, the perfect set up is zero suspension either by making a rigid frame or by using struts. During a hard launch, suspension allows the bike to squat and that wastes time and energy and time is not available to be wasted. A 1/4 mile strip is generally pretty smooth. Guys that travel at 200 MPH may have a different perspective, but it's not like the street or the salt.
Wheelie bars can be run with rear suspension if it is designed to do so, but again, it's an oddity. The fast set up is slicks for the traction, solid rear end to minimize wasted energy, soft tires to act as a sort of drive train shock absorber as the hammer is dropped. Use all of the above without bars and the bike will flip.
For LSR, with which I have zero experience, I would expect that a low bike with some suspension would provide the best balance of reduced frontal area and enough suspension to absorb the bumps. Hoof has sidecar that's so low, that much suspension movement would be a major problem.
And I have raced against guys on almost stock modern street bikes without bars that do around 150 in the quarter.
