He should run at Kempton simply because BCR will be having his first run back since the Coronation Cup on 6th June and also being a prep run for the Arc, he is highly unlikely to be anywhere close to peak race fitness.
Gethin (last seen blowing out in the Eclipse) is now also due to run but given how hard he pull at Sandown going back up in trip would be a concern as to how he will settle at a slower pace but at the end of the day with regards to CH, it will once and for all tell them where they stand with him for future targets.