[en] A method which enables one to build up explicit least-action principles in the non-projective twistor spaces is applied to the context of the theory of complexified Maxwell fields. The freedom in the choices of spinor kernels for the integrands of the universal contour integrals for interacting fields gives rise to the possibility of constructing several Lagrangian densities for the system being considered. It appears that the Lorenz-gauge condition is intrinsically tied in with the inner structure of the twistor dynamics. The configurations involving the kernels for the potential and current density turn out to suggest a natural variational prescription for deriving the equations of motion for the potential. It is shown that the equations for the fields can be derived directly from coupled statements which carry only field quantities. (author)