The moral of Kurt Vonnegut's "Harrison Bergeron" is that forced equality--"It was the year of 2018 and everyone was finally equal"--is not truly equality; it is forced mediocrity. For, in order to place everyone upon an level plane, the brillant, the creative, the talented must be suppressed. Indeed, those superior to others must be brought lower since it is impossible to raise those without capabilities to a higher level.
Hazel, who represents the "equality" level wears no handicaps or other devices, for she cannot be raised from her level of mediocrity. Rather, it is the super sensitive, highly intelligent, athletic, and handsome Harrison, his brillant father George, and the extremely graceful and beautiful ballerinas who are loaded down with handicaps. Thus, the suppression of their superior capabilities dumbs down all of society to the level of the banal.
In addition to this suppression of those who are superior to others and their reduction to mediocrity, there can also be other detrimental effects, such as rebellion as exemplfied in Harrison's character, and the loss of initiative as evidenced in George who becomes afraid to exercise his intelligence, thus accepting his mediocrity,
"If I tried to get away with it,...then other people'd get away with it--and pretty soon we'd be right back to the dark ages again, with everybody competing against everbody else."
Clearly, George has lost his initiative and in 2018 beauty, glace, and wisdom have died, shot by the Handicapper General who insists upon mediocrity and the suppression of the individual to the point of murdering people. Thus, the "equality" of Bergeron's world is no equality at all. Mediocre at best, it verges on the sadistic.