Ford does cover the tires on a new vehicle, but they only cover tire material and workmanship defects during the factory warranty period, and it's pro-rated based on mileage. Ford don't cover any wear or road damage, etc. Yes, the tire manufacturer may have additional coverage based on the tire manufacturer brochure that came with the new vehicle. In the case of high performance tires, the coverage will probably be pretty sparse, no better than what Ford will cover.To add clarity to this, the Mustang owner manual states that Ford does not warranty the tires that came with the car. But the tire maker does, and there is a separate insert with the OM that explains their warranty.
If you have a claim within the mileage limit, Ford will perform the service at no charge.
At least this is how I understand it.
From the Ford warranty: