"A Remote Force is equivalent to a regular force load on a face or a force load on an edge, plus some moment." So if your remote force is applied to the same location as the center of the force load, they will be equivalent (providing force amplitude and direction are the same).
To answer your question, I cannot provide a direct answer as it may be influenced by many factors like the material properties and other boundary conditions, but what I can say is if you only provide a force, then it will not constrain any of the DOFs so the face (or edge, whatever your force is applied to) can move in the y, z, and rotational directions freely. In the second case, your face will not move in y, z, Ry, and Rz DOFs since they are constrained.
It should also be noted that remote displacement has three behaviors: "deformed", "coupled", and "rigid", and you may want to refer to this page for more information: https://ansyshelp.ansys.com/account/secured?returnurl=/Views/Secured/corp/v201/en/wb_sim/ds_Geometry_Behavior.html.
Sorry I am probably providing more information than you needed, but if you want more explanations about remote force and remote displacement, here is what you refer to:
Remote force: https://ansyshelp.ansys.com/account/secured?returnurl=/Views/Secured/corp/v201/en/wb_sim/ds_Remote_Force_Load.html?q=remote%20force
Remote displacement: https://ansyshelp.ansys.com/account/secured?returnurl=/Views/Secured/corp/v201/en/wb_sim/ds_Remote_Displacement.html?q=remote%20displacement