Not way more traction than the Corsa , maybe a P Zero.

Suggest some folks think about what they want the tire for, and the Corsa and R888 are DOT Competition Tires , so they are track tires that are still legal for the street. If you go to the track once a year or never, most should be looking at Super Sports or P Zeroes , imho, as they are a ton better in the rain, quieter, ride better, and will not track around a rutted road as bad. The Super Sports are decent enough that many folks run them in the One Lap of America.

R888 is a old tire design and is being replaced as it has been around for over a decade and hopefully the new tire will be quieter and have more performance, but if someone is not concerned with tracking the car , I would think the advantages with the maximum performance tires like a Super Sport or P Zero would be fine for the majority. I love stickier tires , but recommending them to many often finds folks unhappy with items no one mentioned to them prior to the purchase.