In this context, it is not so much a question of vertical or lateral forces per se, as the effect of inflow velocity field into the prop disc. The situation you described emulates a bollard pull with restricted inflow area. The screw disc will act as a flow accelerating sink. With an open prop working at low or zero advance ratio, you will see inflow from all directions, even from behind. When the inflow routes are restricted, as with a dock bottom, there will be high velocities along the restriction walls; any loose object will be pulled into the "eye of the sink".
If the interest is about the resulting forces upon blades or shaft support, as JHM has noticed, you have to analyze the effects of the inflow variations, and how they generate a non-axial vector sum representing the total impulse on the shaft and its support. Is your focus on blade forces, you have to follow the individual blade as it travels through the inflow field with its variations in direction and intensity, not to forget small scale vortices from upstreams disturbances.