from the weight point of view there is not much in it. The 456 is built more burly but as it’s carbon there isn’t much penalty.
Geometry obviously different – 120mm is at the limit for the whippet. Some people love 120 on inbreds and scandals, others hate it.
456 will take 130 perfectly well – that is how I run mine and I do run at 100mm lot of the time as it feels a bit more racey. Had the guy at on-one not said “definitely no” when I called and asked about 120mm on a whippet (was well before they put it can do 120 on their site) then I may have got one but no regrets over the C456.
I’m not sure if the whippet is stiffer than the 456 as it’s hard to tell as with carbon fibre you can’t judge on the size of the sections but it may well be despite being less burly looking.
Oh and the whippet is push fit BB and both use less popular headset sizes which may affect your choice.