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I am going to take a guess on this one having wondered the same thing myself.
First, I also fly a pa28 and mine, like yours has a device called a tail skid. Most pilots might think this is only used to tie the tail down but it does serve another function.
I would think to have "tail strike" during a normal landing you would probably exceed the angle of attack to keep you flying and you would stall forcing the nose over. The key word here is normal.
I often read NTSB reports and don't ever recall reading anything about a tail strike. There was however a NTSB report a few years ago concerning a modified twin commanche that was being used as an air ambulance. When loading the airplane the pilot loaded the patient and nurse in rear moving the CG so far aft that the plane came to rest on the tail skid. Unfortunately the force drove the tail skid through the airframe and caused damage to the horizontal stabilator control cables. Even more unfotunately the pilot did not find this out until after rotation. I don't remember the exact outcome but I believe it resulted in a multiple fatality accident.
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