Will your body absorb carbohydrates in filler when on LCHF?

Hi, My Doctor told me that a reason for my fillers (cheek augmentation) not lasting more than 1-2 months, could be that I am always on lowcarb diet and then the fillers works as food (sugar / carbohydrates) that my body will consume happily. Could this be right and if so, which fillers should I use? I was considering the semi-permanent Radiesse but after reading about allergies on this site I am quite reluctant (being an allergic person). Thanks for advise - re-filling every 2 month is rather expensive :)