Hard to say how much faster you can go, How wide/Long is the corner?!
On my Mini I sometimes run Yoko A032R's (Semi slick) and sometimes like I am now Yoko A008 tyres!
Both good, But I can notice the difference in the two, The A023R's are awesome!

Even in the wet
A008s are good, but better for road use, As there a harder compound... and Im not going through sets like I was the A032's