I can't think of any benefits, but if it's engineered for that I don't necessarily see a structural concern.
My first thoughts on downsides:
1. May not be economical due to the orientation of the members as technically there is a difference in stiffness/moment of inertia for same depth members with the centroid of the 2x4's being further apart when flat versus vertical, this could affect floor stiffness/vibrations, but could be eliminated with properly engineered trusses.
2. More difficult to run ducting, electrical and plumbing through the truss, depending on depth maybe not a concern, but normally I see very shallow trusses on apartment complexes.
3. Truss bearing area is less, thereby maybe needed TBE's or sim to achieve bearing, depends on forces, but a 2x vertical has much less are of bearing than a flat member.