Rory nailed it, that's a long style clutch.
The only difference between the clutch a 428 would take and a clutch a 390/360 truck would take could be the diameter. Some 428s took 11.5 inch clutches and some took 11 inch diameter. However, here is the funny part, some 390s took both sizes too, but the truck would have been an 11 inch
Now, there IS a difference between a 428 flywheel and a 390, but it has nothing to do with thickness, the 428 has an offset balance. 428s are externally balanced by the flywheel where 360/390s are internally. Using the wrong flywheel will make them shake like hell and come apart
So, if you have a clutch now and it is in your hands, measure the diameter and it's easy for any of us to help. The Parts guy may have been trying to get you into a factory Ford diaphragm for 1 ton trucks and they are big, they won't bolt to your flywheel and won't fit in the bell
You will likely need to stay with an 11 inch clutch or a very specific 11.5 inch pressure plate made for Fords because of the shallow truck bellhousing (different than a car) however, that doesn't mean you cannot go diaphragm if you want it. Most of us will think you don't NEED it, but that could be irrelevant.
Can you post pictures of your exact bellhousing and measure your pressure plate wear surface diameter?