The rare times that i take my car to a carwash place, they use Amorall on the tires. Amorall protects rubber and plastics...so, i don't see any harm in using it.
However, i don't use anything at all really...the interior plastics on my modern cars will likely outlast your ownership of the car. Tires are there to get dirty...so, i don't spend money on dressing it up.