Poly(vinylidene fluoride) (PVDF) was melt-mixed with custom-synthesized multiwalled carbon nanotubes (CNTs) at various loadings to create polymer nanocomposites for electrical applications. The custom-made CNTs were finetuned using chemical vapor deposition technique over a broad range of temperatures, i.e., from 550 to 950°C at 100°C intervals. Characterization revealed that synthesis temperature had a huge impact on the structural features of CNTs and, consequently, on CNT network formation within the polymeric matrix. Oscillatory amplitude sweep test indicated that nanocomposites with poor conductive network showed a multistep yielding in the nonlinear regime; i.e., the storage modulus dropped to an intermediate plateau and then decreased significantly. Conversely, the PVDF/CNT 650 (CNT synthesized at 650°C) nanocomposite with the highest conductivity demonstrated a gradual single-step yielding process. Physical interpretations and structure−property relationships were expounded based on intra-and intercycle quantitative nonlinear viscoelastic parameters, which showed strongly dissipative nonlinearity at intermediate deformations for poorly conductive nanocomposites (PVDF/ CNT 850 and PVDF/CNT 950 ). Multiple gap-size rheometry of the nanocomposites confirmed that the dissipative feature of poorly dispersed polymer nanocomposites originates from disruption of the bridges of nanofillers spanning the rheometer gap, i.e., aggregated structures experiencing the rheometer plates confinement effect. Moreover, for the first time, we showcased the effect of confinement of nanofiller aggregates on intracycle viscoelastic response of polymer nanocomposites in both mediumand large-amplitude oscillatory shear regions.