Note: The legend of the Horowitz family descent from the Halevi family of Spain has recently been called into question and appears to be a fabrication of the late 19th century. As a result, this profile has been disconnected from Rabbi Benvenisti ben Yossef Ha'Levi
See http://www.avotaynuonline.com/2016/03/does-the-horowitz-family-from...
In the newly published Paul Jacobi papers, Vol II:194, he writes: “Most probably, the Sephardic descent version arose in the Horowitz family for the same reasons as it suddenly appeared in hundreds of other Ashkenazic families, i.e. status enhancement, the desire to benefit from the higher social status then accorded to Sephardic, as opposed to Ashkenazic Jewry."