Generalized D'Angelo conjecture for complex vector subbundles

Let $M\subset \mathbb{C}^n$ be a pseudoconvex real hypersurface with $n\geq 3$, let $1\leq s\leq n-2$, let $p\in M$, and let $B$ be a smooth complex vector subbundle of $T^{(1,0)}M$. Generalized D'Angelo conjecture. One has

$$t^{(s)}(B,p)=c^{(s)}(B,p).$$

This generalizes the vector-field equality attributed to D'Angelo by replacing the individual direction with a smooth complex vector subbundle. The supplied text gives no evidence of a resolution.