Can I just urge a note of caution.
A carbon/steel/Ti/Alu/whatever seatpost will have an effect to how your bike feels but unless it’s one that’s designed to really move significantly (eg the dogleg Spesh one or a thudbuster) then it’s only going to be a small difference unless you’re coming from a particularly rigid post (which your pig iron one may be).
A carbon seatpost with sufficient exposed length to allow a degree of forward/backward movement may well help but then the same is true of a long aluminium post with relatively thin walls and non OS diameter.
From memory, Roadie Hora(!) your road bike doesn’t have loads of exposed seatpost which means that any change based on material alone isn’t going to be that significant though no doubt you may convince yourself otherwise 🙂
FWIW, if you really can’t get used to it (because new roadies often complain about how bumpy it is until they get used to it), fatter tyres and lower pressures would likely be a much better solution. Or failing that try different saddles – some have more, effective padding than others.