Trailering your A-body

The flatbed tow guys use straps over the tires (kind of a short net with a ratchet strap). In other words, they strap the wheels down and let the car ride on the suspension. To me, this seems like a better idea than trying to compress the springs by strapping down the frame or the suspension parts — it's less likely to break something, and it doesn't shift if the trailer bounces over a bump. Is there a reason why you don't do that?
This does NOT apply to me but:
Guys with HIGH-dollar shocks tie down the body and use the trailer suspension. The cycling of the shocks in the trailer during a 200 mile tow amounts to thousands of passes down the strip.