The spring rate is primarily determined by the sidewall and shoulder of the tire. Thicker shoulder = higher spring rate. Think of it as running higher air psi without changing grip/sidebite in the corners.
Rough track surfaces typically do best with lower psi and lower spring rate tires. Think of a basketball instead of your tires hitting those bumps...higher psi will make the ball/tire bounce higher. Sure, it's faster on the straights, especially on a big old stock car track, but if you're too high, then you can't keep the car in the groove in the corners. I guess it depends where the track is rough too. Thin and flat is generally used on higher biting, not necessarily the "roughness" of the track.
Dumplin used to get very fast with bite -- From what guys are telling me, it's not so much the past couple years -- this could be due to car counts on regular nights, difference in track prep, or a bunch of other factors...I don't really know. When it really bites up, thin and flat will be fast, but I know guys that are running .060" - .080" thick 33s crown cut or intermediate cut there that are fast too. When it's slick during the day with lower bite, I'd be on crown cuts with prep for bite. As the track bites up, go to a flat(ter) cut set with less bite prep. If it stays slick, stay on crown cut and something pretty harsh to get the tire to fire. Our Pink Panther has always rolled well down there, as does others' "red" preps. Jerry Welch has a red that works well there, as did SBR at one time. There are plenty of guys who continue to kill tires with green and goat. To each their own I guess. As long as you're just wiping before going to the grid, you're probably alright with that, but it wouldn't be my #1 choice most nights. Condition prep with Pink Panther, then either Monster Bite to drop duro and add bite, or Black Bite 2.0 to keep duro the same and add bite. (Any of our preps can be used straight as a PRW.)