Mike wrote: "When replacing the sender with a new one I noticed what looked like oil leaking out where the fresh air outlet connects to the main shroud. "
Sorry, EOA moment and I cannot visualize that place. Can you provide a photo?
It is totally common for the oil pressure sender to leak, usually out across the case from the distributor left-ward and up/down on the case around the sender. When that happens, the sender often loses pressure (but not the system) and the light (normally closed) is allowed to come on. It can look like the oil cooler is leaking, just from the amount of oil spewing out of the pressure sender because it shoots out under pressure and can go anywhere and everywhere, depending on the nature of the leak.
Now that you have a new sender in there and want to clean things up, anyway......Blast the hell out of it with a good degreaser and hose it off, then let it dry and drive it a bit to see if you see any more oil sneaking out. That's a good first step, versus pulling the engine out to pull the fan shroud to find nothing (or something).
Also, an oil cooler leak will show up in the center, between #3 and 4 barrels and down the case, on the underside of the engine (and the fan blows the oil straight down). A leaking pressure sensor will show oil at the rear of the #4 barrel where it meets the case.