Piero the oil comes out of the hot motor then straight up to the oil cooler then out of the oil cooler then to your filter and then back to your oil tank to repeat its cycle, from running around a hot engine the oil needs to cool down a bit before if cirulate through your hot motor again, without a oil cooler your oil will always be hot even before it goes back into your hot motor.
I have heard all the aguements about oil coolers in the 45 years of riding bikes and 43 years of running Lochart oil coolers on my air cooled British twins, I think I have enough experience to know what I am talking about and some of the things people say who have never ran a oil cooler in their whole life but they all have their own say about it, things like oil takes longer to get up to running temp, well I have never notice that and they need a thermosta to me its not needed, the cooler my Norton runs the better it runs and the cooler the night air gets the better it runs.
I don't care what others say about running a oil cooler, my opinions are all mine and people set them up differently or have their own ideas but one thing is I know what my bikes like and they run better with a oil cooler, the old oil keeps it strenght till its due to be changed as well my Norton only runs the very min of wiring, running JH maggie and no battery and adding a themosta would just be another headache to worry about as well running a by pass oil lines etc etc and my experience there is no need for it.
For most of my Norton life it was a everyday rider and for about 15 years it was my only transport, so the longer I get out of my motor the better and your motor will show more sign of wear and tear when they are running hot.
As I say this is my opinions and my experience with running a oil cooler, if you decide its not needed then all good, everyone will have their own opinions the same as what oil to use or what exhaust to run to what tyres are best to whats the best ignition systems to run, everyone has their own opinion on these, what works for some might not be the case with others, each bike is different and not all run the same and if you have never ran a oil cooler then you really will never know.
Ashley