Treaded tyres are rarely used by anyone that races, they're more for people who just run in the street or for show. If you're racing you're going to want to use racing tyres which means slicks. Although if it gets wet there are some tyres that work and have tread, but there are also slicks that work in the wet
The only treaded tyres I like are Pit Schumizu D20 24mm treaded tyres, they work very well in the wet and even when greasey, which is normaly a time most tyres strugle. I also like CS22's for the wet but in the greasey stage they can strugle a bit.