Yes 96 and 97 had this oil cooler
It mounts to the engine block and the lower radiator hose and coolant flow through it
Ford deleted them in 98
I delete them as well
As much as I love a hood oil cooler, this fluid/fluid cooler sucks it is a failure point that allows water in your oil When it decides to corrode internally
Any 96-97 5.0 engine that has this I either Re locate the oil filter or just run the 98-01’style mount and lower hose