Agree with hotwork77, please get a second hygrometer for verification. The inside should feel slightly colder than outside. Reason is: the cold side of the drier unit will cool down the inside air a little bit. The temperature difference between inside and outside is 2 degrees at maximum.
But again: this does not affect the battery charge and self-discharge at all. For long-term storage of your battery charge it fully and put it into fridge (not freezer).