Wheel hop comes from two things. One is the tires bouncing off and on the track, usually from a lot of power and very soft rear shocks or tire wadding.
The other more common thing is axle wrap. The bushings are soft, the axle rotates back at the top and forward at the bottom, and this changes the geometry causing it to lift the tires. As soon as the tires spin the axle unwraps, it regains traction, and then it wraps again. The shocks, unless staggered one front of axle and one rear, can't control this.
Ford added the quad shocks to dampen the axle wrap because they had to use very soft bushings in the upper arms to prevent binding.
If you get rid of the soft bushings and use heim joints at the floor and solid bushings at the rear end tabs at the top, and one set of heims and a solid bushing on the lowers, the rear end will move freely without binding and never wrap.
If you don't do that, you roll the dice on rear end oscillation as it wraps and unwraps.
Until I installed heims and rigid poly bushings in both upper and lower, I would occasionally get axle wrap without the quad shocks. How often depended on the traction and tires. Now with solid bushings and heims, I never get wheel hop and don't need the quads. The only time I get tire shake is when I run soft sidewall tires on a really tight track and wad the sidewalls all up. Like if a track is prepped for radials and I run old slicks at low pressure, my car will shake violently. Nothing cures that except enough pressure to get the sidewalls stiffer so they don't wad up.
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89 LX. 363, single turbo, Super Vic EFI, TFS high port heads by TEA, solid roller, glide. Holley HP EFI. (exact combo varies)