Exotics are towed all the time. Many exotic rental companies prefer to tow the car for every delivery and pickup. Many owners tow their cars to shows and rallies. (This all seems stupid to me, but I don't own an exotic, so maybe they know something I don't.)
That's how they're winched onto the flatbed though anytime they're broken. The manufacturer provides that eyelet to prevent damage to suspension parts from using straps on a "bad" spot.
