VBI:
It seems to me that you have to know the construction details of the individual parapet, because the capacity will vary from one type to another, in terms of structural loadings, tensile, compressive and moment capacities. One would assume that most parapets could take some compressive loading from a scaffolding hook if it is distributed over some length of the parapet. But, this depends upon how the parapet is capped also. Is the cap glazed clay tile, bent sheet metal on wood blocking, etc? These might be crushed or dented by the hook loads. The way the hook imparts its load should probably not induce tension on one side of the wall. In other words the scaffolding loading should not produce bending in the parapet wall. Then OSHA comes into play as to factors of safety of these support devices or systems.
Chicopee’s method of cantilevered beams with cribbing or front frame/legs near the parapet and the back span counter weighted eliminates concerns about the condition of the parapet and the damage you might do to them. And, you should review OSHA on this arrangement too. Also, much of what you see being done, is being done by some very brave (naive?) works with very little engineering input, until some scaffolding falls.