I believe you're incorrect there, crossframe. The eta factor is the "load modifier" and is applicable to all limit states.
Based on Eq. 1.3.2.1-1, I would say the answer question in the OP is yes, the eta factor would be applied to deformation and movement ranges, as well as all other force effects. That's what I do.
Oops. I should have read further before answering. crossframe is correct; the individual load modifiers are all specified as equal to 1.0 for all but the Strength limit state, and should be applied to deformation and movements for the Strength limit state, but not others.
Rod Smith, P.E., The artist formerly known as HotRod10