No it doesn’t. The rationale for dressing closed wounds is the same regardless of closure method. I can say this confidently as a vet.
If Zimmerman had a gash on his head incurred from the ground or sidewalk, it would be pretty contaminated with dirt and other debris, even if it was washed as thoroughly as can be in the back of a police care. Closure is usually contradicated for dirty wounds because of the risk of infection.