We construct magnetic and electric Carrollian Maxwell theories by performing Kaluza–Klein-like null reduction of a complex Maxwell field in a Bargmann deformed light-cone background with manifest gauge symmetry. The procedure preserves the original first‑class U(1) Gauss constraint in the standard Carrollian Maxwell theories and deformed Carrollian Maxwell theories with a decoupled electric/magnetic scalar $A_{-}$. We give the scaling of the parent gauge parameter and show that the $U(1)$ symmetry is inherited from the parent theory and not introduced after the limit. We emphasize that $A_{-}$ can be rendered non-dynamical by imposing additional ad hoc constraints. Since $A_{-}$ is invariant under the original $U(1)$ symmetry, removing it is a constraint and not a gauge choice, but the resulting theory is the same as the one reached by imposing the light-cone gauge $A_{-}=0$ prior to the KK-like null reduction. For an electric pseudo-coupled theory without gauge symmetry, after imposing the ad hoc constraints the theory becomes the standard electric Maxwell theory together with a decoupled zero-energy scalar $A_{-}$. Furthermore, our work provides an explicit example of the correct application of this approach, thereby broadening the scope of its applicability to gauge theories.