And for completeness, here are the force curves of the touring and the hankook tire.
touring vs hankook
You might notice the large difference in side grip (blue curves), one of the reasons why our cars are hard to drift I guess.
I am wondering if we could get away with using Pacejka combing parameters from Hankook tire with all our tires. In the real world they will certainly vary from tire to tire. On the other side the single parameter set we've got is clearly better than what we use now (especially at low slip angles).