The shape doesn't really matter but I was just curious.
Anyway, if you discount all of the other factors, as the turbulence intensity increases in the wake, you will tend to observe a higher drag on the body. Turbulent fluctuations tend to increase the transport of momentum through a fluid, and in this case, it means that the wake would be pulling more fluid along with it and the body is therefore having to drag more fluid along with it, thus higher drag. Of course, the difference between 12% and 13% is small and probably not going to be a very noticeable difference.
The thing is, though, that none of these things can ever truly be independent of other factors in the flow. In this case, the size and shape of the wake region is determined largely by the location(s) of boundary-layer separation on the body itself. These, points are, in turn, intimately related to the state of the boundary layer, and a turbulent boundary layer is going to remain attached to the surface longer than a laminar or transitional one. Of course, the state of the boundary layer is highly dependent on the level of turbulence in the free stream.
So, what does it all mean? A higher free-stream turbulence level is going to mean that the boundary layers transition to turbulence sooner. This means that the viscous drag is going to be higher (sometimes substantially). It also means that boundary-layer separation is delayed, and the drag as a result of the wake is going to be smaller (often a larger effect than that of viscous drag). Of course, in the real world, you don't get to choose your free-stream fluctuation levels, but this is a real issue in wind tunnel experiments where the results are highly dependent on the state of the boundary layer.