The bicycle rider SHOULD be able to ride that fast through that area. Motor vehicles do.

Is the bikeway designed properly for reasonable speeds as it should be (especially if it's mandatory use)? Are laws/rules adequate? Is NYPD or other agency enforcing the laws? These all deserve blame before the jaywalkers and others who were (illegally?) encroaching on a legal travel lane who all deserve blame before the bicyclist. Saying that all of these others failed so now we're going to blame the bicycle rider is quite backwards.