I believe that prohibiting replicas is detailed in the secretary of the interior historic preservation guidelines. Maybe prohibiting is too strong a word. When I reviewed GR's HPC guidelines the first thing to "consider is height, form, massing, proportion, size, scale, and roof shape". Secondary concerns are, "Materials, building features, and details typical of buildings along the streets ape or block will provide additional vocabulary. .." Whatever that means. It is so subjective that you could put almost anything in there if your materials are compatible and the committee is feeling generous. There are tons of examples of modern looking buildings being approved that have nothing in common design wise other than high quality materials and the first requirements.
That site is helped by not having any neighbors to be compatible with. The biggest obstacle would probably be window/door design since a glass tower doesn't have the proper historic window proportions.