Went to Setagaya Art Museum, that held an exhibition about Uchii Shozo, the architect of the museum. I am sticking to the writing of the family name with double i, as in other online resources.
The English writing of names is sometimes confusing, see Ito Toyo. If written according to the Kanji's reading it would be Toyoo. So it might be possible that Uchii Shozo appears written as Uchi Shozo, with only one i.