Sorry for the late reply.
Coming to the question, we can compute a pressure difference between the two sides of a meniscus (Laplace pressure) due to the presence of a curvature. but this computation is done when the system is static. But when we write equations describing the dynamics...
m(d^2x/dt^2)=-mg+(wetted perimeter)*surface tension-viscous forces.
This is the Lucas -Washburn equation.
Even during finding the equilibrium height (Jurin's height) at which the movement of fluid stops, we equate the gravitational forces to the surface tension forces, without considering the...