The position Rudy Giuliani took in the unedited YouTube video may be consistent with the Hyde Amendment today, but it was not consistent with the Hyde Amendment in 1989. At that time, federal funding of abortions was permitted only when necessary to save the mother's life. It was expanded to include rape and incest in 1993.
The D.C. funding bill not only went beyond the pre-Clinton version of the Hyde Amendment but allowed unrestricted use of city funds to pay for elective abortions.