It has this stonger meaning in my usage, so I don't talk about 'household chores'. Taking out the garbage is not an errand in my usage either. (Anyway, I expect Swarovski is more interested in the AmE view of this, since he/she uses the AmE "taking out the garbage".)'Chore' is AmE for a household task. In BrE it has a stronger meaning of being a real nuisance.