Yes, big difference, but it might not matter one bit for your application.
Both are softer and stickier on the contact patch, but vastly different rubber compounds.
Drag slicks are made to have the sidewall absorb some shock.
Drag radials are more popular nowadays, and they have stiffer sidewalls.
Road racing tires are made with stiff sidewalls for cornering.
also: used or old racing tires are worthless, they get hard and lose their grip just from sitting around too long