Clarkson is facing such condemnation in the UK and abroad, that it really isn't necessary for the BRF to become involved. They rarely step in to these types of negative articles because either there is such universal disapproval or the individual's employer takes action. For example former BBC Danny Baker was fired by the company after posting that awful cartoon of then Baby Sussex prior to his birth.
Also it is worth noting that the Sussexes have their own communications team much like they did when they were still part of the working BRF group. We all know that the couple are perfectly capable of voicing their disapproval and would not hesitate to seek legal action if necessary.
Clarkson's comments were appalling and it is just right that he should be sanctioned for what he said.