hi there,
actually i am planning some upgrades to my Cooper and the Forge intercooler is included in this stage2 tuning upgrade from minispeed >
https://minispeed.eu/product/tuningstage-ii-cooper-naar-180-pk-3e-gen/ so cannot say it just yet. i would say you might get better conservation of power since if you noticed it happens that when you repeatedly demand full power, you don't get the max HP all the time, that's i think because the cooling isn't optimal so the ECU doesn't allow full power, etc - i've seen that much more in the summer, that's when the engine has more issues with heat obvoiusly.
right now it's cold and when it's around 10C or less the power of my mini is quite quick.
So i would look at that upgrade only as a way of having more consistent power, rather than an increase in HP which is very debatable. my 2 cents.
On the other hand a very cheap and effective way to increase power on your cooper is by installing a sports air filter. I got approx 30% acceleration increase (tested 3rd gear) with this filter
BMC Sports air filter. - you need to keep it healthy and clean with the maintenance tools, i do that every 10.000 KM and they say you get 4-5 HP extra. You can really feel the difference with that.