Anything deflected in the airstream will produce extra drag hence trimmable horizontal stabilizers on transport category aircraft.
Center of pressure ( center of lift ) needs to have a certain position relative to CG otherwise stability issues arise.
You've got to see the whole rather then a single component.
Ideally there is no up or down force as this would be the lowest drag scenario. Whether this is achieved for any significant amount of time, I don't know.
With large swept back wing aircraft CG changes with (wing) fuel burn.