I was online today and ran across a bunch of info about our trucks and the radiators that are in them.
From what I read..... All the Tow Packages were supposed to get the 1.42" radiator (larger 1 row radiator). I went out and measured mine and it is a 1.02: radiator (smallest 1 row radiator).
Apparently this happened to A Lot of the f150's that also had the tow packages. All of them, 2001 and up anyway, were supposed to get the 1.42" deep radiator but Many Many 2001 and up with tow package ended up with the 1.02" deep radiator from the Factory.
Mine has no overheating issues. The original owner said he regularly towed his 25' boat with it, apparently with no overheating issues.

***Would my truck benefit from the removing the 1.02" deep OEM Radiator and install the 1.42" deep OEM Radiator that was supposed to be installed in it at the Factory?

My rig Does have the Transmission Cooler located at the front bottom passenger side of the radiator and a smaller Engine Oil Cooler installed on the front lower driver side of the radiator.

 

IF it ain't broke don't fix it. If you ever do need to replace it, then definitely get a heavy duty radiator.

 

I bought a new 2000F150SCAB4x4 with a 5.4 and tow package. The ads for this truck stated if you got the tow package, you got additional cooling or something to that effect. And they had the same radiator other trucks had. Enough owners complained to Ford that Ford offered the owners a larger radiator that came with the 7700 series, $100, or $500 credit on a tradein. I chose the larger radiator. Don't think I needed it really. What I noticed was that before the heater would burn my right foot on full heat and it was hot enough afterwards but didn't burn my foot. After a couple of years when I was working in WI in the winter, I got a trouble code indicating the engine was not heating up quick enough. The Ford dealer in Green Bay diagnosed it as needing a new thermostat. Could have been but I just cut a piece of cardboard about 20" x 20" and dropped it between the radiator and condenser and didn't have the issue any more. Of course I had to take out the cardboard in the spring.

 

Going with what you said from your personal experience of having the 1" radiator and then receiving the proper 1.42" radiator, with the hot being less hot inside the cab, foot heat area, with the proper 1.42" larger radiator..... I am wondering if the engines that had to have the intake manifolds/gaskets replaced due to leaking, If all of those 5.4l engines had the 1" radiators and that the extra engine heat may have caused premature gasket failure on those intake manifolds?

That would make sense to me but I am not an expert either.

 

Any internal combustion engine that burns fuel has to get rid of at least 1/3 of all the heat generated through the cooling system.
The radiator has to have enough 'area', enough coolant flow rate and enough airflow to accomplish this parameter.
The cooing systems are oversized to be sure there is some over capacity..
The Thermostat does the regulation due to the oversize in that capacity. in order to maintain an average temperature without overheating or running too cool..
All an oversized radiator does is make the thermostat open and close a greater number of times per unit of time to regulate and maintain that temperature range otherwise it is of no benefit to have a larger radiator dissipation area...
Until any motor generates >>>more heat than can be dissipated<<<< through the cooling system, a larger radiator does not offer any advantage...
Part of the cooling system size is dictated by the use of a pressure cap to raise the internal pressure thus the boiling point.
This allows a smaller radiator cooling area size. It's not a way around using a larger radiator but just plain physics to raise boiling protection since the normal running temperature is 195 to a bit over 200 degrees. Without system pressure, it would operate too close to boiling point in hot weather, A/C, and higher engine loads.that would be a problem running to near the system total capacity..

There is a fan that is rated in cubic feet per minute airflow at a specified fan RPM that is more airflow than needed so is also regulated by a temperature controlled fan clutch. So there goes part of your oversized radiator capacity..

When there is cooling failure, one or more of the above parameters have failed and is not due to sizing of any part of the system.
All this other conjecture otherwise, means nothing.