Jackiewschen, more important in this application is fine tune temperature control. If you have a constant amount of moisture in the air, a plus or minus one degree temperature swing will vary the room's relative humidity reading in about a 3.4 %RH band.
Ex: You maintain a room 71°F ± 1°F, with a target RH of 50% at 71°. With no change in the air's moisture content, your RH will be 51.6% at 70° and 48.2% at 72°. This temperature control band will vary RH ± 1.7%.
For a 1% humidity control band you would need a very tight room temperature control band and a humidity control scheme that is finely tuned.