No, They should all take the same cap. Here's photos of the original Ford cap and the Everseal R-1 aftermarket cap
Most caps of this type even new ones don't seal very good. You need to
drill the rivet out, install a rubber gasket the same size as the fiber one.
This will seal the cap good. 1/8" thick red rubber from the plumbing
section at your hardware store works good.The problem starts with
the radiator tubes, when the ID of all the tubes is added together, that open
area is smaller then the volume of water from the pumps being dumped
in the top tank. This restriction causes the water to back up in the top
tank and coolant is lost out the overflow tube. You have heard the
expression the water seeks it's own level. This is true but this leaves
the 22 quart system with maybe 16 to 18 quarts. Low coolant in the
radiator makes the temperature hotter. The restriction makes it
necessary to force the coolant through the tubes to provide enough
flow to cool the radiator. This causes a slight pressure on the cap
causing it to leak. What is required is a working pressure cap if the
radiator is made for one or Skip Haney's 3 lb check valve on the bottom
of the over flow tube. The pressure cap or valve allows coolant to be
forced through the tubes and top tank will remain filled up to the
filler neck for over a year. 122 tubes was mentioned by a previous
post. Most radiators I checked had 144 tubes. less tubes if they are
the same size mean less flow and hotter running engine. G.M.