I will be using a remote oil filter as well as an oil cooler. It was my understanding that the oil will leave the engine block, travel through the oil filter, out the oil filter to the oil cooler, and finally out the oil cooler back into the engine. The picture below depicts that route.

When I received some parts, the instructions showed the oil flow with the filter after the oil cooler. Now I'm confused as that makes more sense to me as the oil is filtered prior to circulating back into the engine.

What do you guys think?
Would there be a pressure issue either way?