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No, It’s not my core but shoulders and knees i have issues with I overheat in the middle if i wear unpadded longs over bib tights to keep my knees warm with 2 layers, hence finding longs with thin straps not a chest panel work for me.
Alpha insulation on the shoulders is most of the solution just after the final layer.
My partner suffers from raynauds, she loves the alpha specialized top i bought her, if i get a burner it will be for her.
Have you tried one of the Albion burners? Obviously not wind/ water proof but if you pair it with a good outer layer it makes an amazing difference to body temperature. I have raynauds so can struggle to keep my hands and feet warm. Using a burner to keep my core warm makes a massive difference in keeping the extremities comfortable.