I don't subscribe to these kinds of calculations leading to statements like "8kg per disc unsprung worth 144kg sprung" but I think this is engineers trying to explain the concept.
I had a set of carbon Dymag wheels on my GT2 which weigh around 9 to 10kg each they proved difficult to maintain ie any slight curbing was a PIA and the carbon finish was not durable. I swapped the Dymags for my current BBS Fi aluminium wheels, the total weight of the Dymags was ~38kg, the total weight of the BBS Fi is 33kg so the BBS must have felt lighter right ?
Well the answer is an emphatic NO and as I'm sure everyone has surmised by now the Carbon rims felt noticeably lighter particularly in the steering, it is of course the rotating mass at the outer edge of the wheel being CF has less rotational inertia (is that the correct term ?) it was quite interesting to feel the difference !
Recently I put some new wheels on my Merc V van, same size 9X20 and weight ~13.5kg as what they replaced but the new wheels boasted they were made by a new process called "Rotary Forging" which makes the outer rim much lighter than a conventional alloy wheel. I thought this was marketing blurb but I was amazed that YES the steering felt immediately noticeably lighter and the handling just feels that little bit lighter....
Lastly I have a little project car, a K20 engined Mugen Honda Civic yes I know, yuck, but think 260 NA hp and 9000rpm without going to jail for 150mph , this wore 19" rims at 11.8kg a piece, I swapped for 18" Mugen GP wheels at 7.3kg also special Spoon monoblock calipers together with floating discs saving ~4kg and Fightex aluminium suspension saving Xkg and the handling transformation is superb, much better tyre contact and big improvement in ride
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997 GT2 2014 3.9 Mezger, 800PS @ 1.2 bar
993 Turbo, 2006 built 3.8, 577PS/797NM, 1440kg DIN sold to a worthy enthusiast.