I read somewhere that the OMS single wing has integrated STA in the form of small cilinders integrated into the center portion of the wing (stabilazers)
As pointed before, if the BP is a newer design, the camband slots allows to use the wing without a STA.
My BP is older type (without the camband slots) and requires a STA, so I use it with the STA.
Once I tried my buddy's BP (newer design) without the STA and felt the tank a bit less stable than with the STA, not much of a diference, but some was felt.
The main reason for me to use the STA is the 2# shaved from my ditchable weight, and the extra clearance from the 1st stage provided with the STA, no hitting the 1st stage with my head as happens with my DR Trans Pack.
If you don't need the extra weight, Dive Rite manufactures a lightweight STA that weights close to nothing.