YES

1 decompositions
 #0 -----------
   1: W(B(x)) -> B(x)
   2: W(W(x)) -> W(x)
   3: B(I(x)) -> W(x)

@Strongly Commuting
--- R
   1: W(B(x)) -> B(x)
   2: W(W(x)) -> W(x)
   3: B(I(x)) -> W(x)

--- S
   1: W(B(x)) -> B(x)
   2: W(W(x)) -> W(x)
   3: B(I(x)) -> W(x)