Thanks for the answers ! I don't know all details about slalom competitions in Switzerland because I'm not following the competition closely anymore, but if it hasn't changed, you can do the modifications you want on the car. There are classes depending on your car :
Groupe SuperS : super series cars (only Swiss drivers)
Groupe IS : special cars «InterSwiss»
Groupe N/ISN : production cars
Groupe A/ISA touring cars
Groupe R : touring rallycars
Groupe B* : GT cars
Groupe GT : GT cars
Groupe C : sportscars
Groupe D/E : single seater and free formula cars
And you are classified depending on the capacity of your engine. The speed of the single seater cars depends on the track of course, but they don't reach more than 180kph I would say. Hillclimb is different and usually the competitors use the same car for hillclimb races too, so I will keep an eye if he's using the same type of car/wing at hillclimb events.
I would say that at this speed the drag is a concern and especially on such short distance courses where every tenth makes the difference. The car is a Lola B 99/50 driven by Eric Berguerand, that was at the "Slalom de Bière" this year.