The spin response function is used to analyze the spin-flip resonance widths of stored polarized deuteron beams. It is found, using simple model assumptions, that the contribution of the vertical betatron oscillations (for an rf radial dipole field spin-flipper) reduces the resonance width by an amount in good agreement with recent measurements. It is also noted that, for spin-flip measurements with an rf-solenoid spin flipper, the spin response formalism also yields an answer consistent with experimental data.