@umar I don't think so that checker will ask him to ascertain the effect of story drift on nonstructural member. If his structural system, which, I think, is comprised of RCC frame, satisfy the the drift limits that will limit, or avoid, the damage to cladding/non-structural-members, he does need to do anything else on these non-structural members.
Yasir could inquire from him about that aspect, to know if he is worried about the damage to these vertical posts, and attached louvers, due to the drift experienced by RCC frame. In any case you can check the strength of these post against the moment and shear that will result from drift.
I think that strength and serviceability limits should be satisfied for these non-structural members, independently of main structural system. It is the mid span deflection due to wind load that also needs attention.
The thing you have mentioned refers to the members which are part of a system resisting gravity loads. Code requires us to design these members, meant to resist only gravity loads, for drift inflicted by the members, part of Lateral load resisting systems, on to them . The box-shaped posts, used in current discussion, only supports louvers.