  Heterogeneous media diffusion is often described using position-dependent
diffusion coefficients and estimated indirectly through mean squared
displacement in experiments. This approach may overlook other mechanisms and
their interaction with position-dependent diffusion, potentially leading to
erroneous conclusions. Here, we introduce a hybrid diffusion model that merges
a position-dependent diffusion coefficient with the trapping mechanism of the
comb model. We derive exact solutions for position distributions and mean
squared displacements, validated through simulations of Langevin equations. Our
model shows that the trapping mechanism attenuates the impact of media
heterogeneity. Superdiffusion occurs when the position-dependent coefficient
increases superlinearly, while subdiffusion occurs for sublinear and inverse
power-law relations. This nontrivial interplay between heterogeneity and
state-independent mechanisms also leads to anomalous yet Brownian and
non-Brownian yet Gaussian regimes. These findings emphasize the need for
cautious interpretations of experiments and highlight the limitations of
relying solely on mean squared displacements or position distributions for
diffusion characterization.
