Yeah they still all use carbon black, it’ll be around 20-25% of the tyre by mass. Any rubber product that needs to be somewhat durable/abrasive resistant/temperature resistant will have it added.
Without it the tyre will get really hot, deform easily, be really weak and wear really really fast. Its why you don’t see coloured tyres ever, except those white ones which have had the (inferior) zinc oxide added instead. Incidentally all car tyres used to be white until they discovered what carbon black could do. There was a period of adding carbon black to the tread, and zinc to the sidewall rubber, which is where that classic car look comes from before they switched to 100% carbon for performance.
Quite like the look of skinwall on some bikes, but never run them because they’re form over function.