I believe this is a Yes. I will go out on a limb and say that our fuel pumps are variable pressure since they are returnless style fuel systems, and pressure at the rail is controlled directly by the fuel pump, as compared to a return-style that the fuel pump is designed to operate at max all the time and the pressure at the rail is controlled by a in-line regulator. This is why the standard Walbro 255lph and a pressure regulator setup used by most cars in the modification tree wont work.
Cobras usually retrofit their stock fuel systems after 550whp, which is either the point of maxing out the stock eaton (ported by this time) and nitrous or after they install a KB/Whipple. I believe they step up to either Ford GT fuel pumps (Plural, cobras have twin in-tank pump setups), or the like.