Dynamics of the hydrodynamic thin film drainage between a capsule and a solid boundary in flow is crucial to adhesion of capsules, and therefore, to the stability and effectiveness of capsule products. Although there have been numerous studies for drops and initially stress-free vesicles, this phenomenon is still not well understood when capsules or preinflated membrane bound particles are involved. Based on the existing theories for drops and vesicles, we have derived scaling theories in a more general way to allow for a non-uniform and non-isotropic tension profile on the membrane, which is usually the case for capsules, and also included the effect of preinflation. These scaling theories were then compared with simulations using a numerical model coupling the boundary integral method for the motion of the fluids and a finite element method for the membrane mechanics. Surprisingly, we find that the only relevant modulus for capsules in the drainage process is the area dilation modulus Ks, which is often deemed to be of secondary importance compared to the shear modulus Gs or the surface Young's modulus in studies of capsule dynamics. This leads to the fact that the drainage behavior of an initially stress-free capsule is similar to an initially stress-free vesicle, in spite of the additional shear modulus that is present for capsules. We also find that the drainage behavior of a prestressed capsule or a prestressed vesicle is similar to a drop with an immobile interface in a weak flow.