What are these Home Position fields used for?
These simply store a home location in dedicated mom variables. As noted in the screenshot, this is an array variable called mom_sys_home_pos_metric in a metric post. In an inch post, this variable would be named mom_sys_home_pos_inch.
This point can be output from a Go Home option in a operation, or used by the post for any automatic moves needed, such as a safe home position before a tool change is executed. You can enter any values you want here without affecting machine code or kinematics.