That’s probably because there is not much to hook on to on those cars and an inexperienced or inattentive tow truck operator could cause more damage than using the foam.
Best and preferred hook points would be from the front, using 2 hooks, with cinch block in middle to spread load, to 2 holes on lower side of K member.
Hooking from rear not advised.
But if one must, only place I can think of to hook is the IRS cradle has a few holes to hook to.
Don’t hook any of the suspension components, front or rear.
Damage will surely result.
These same points can be used to secure on a trailer for hauling.
Or strap on to wheels.
If strapping onto wheels, watch angles and tension on strap.
Ratchet strap on wheels can place high torque on suspension components.
This could also cause damage or at the least, affect alignment.
Front and rear alignment on S550 is kind of delicate, especially rear.
Rear tow link is very small from factory.
Advisable to upgrade to Ford Racing (PP) tow link.
I believe it’s the same on Shelbys and Machs.