The vanishing of the framing correction in higher degrees

Let $\delta_n(M)\in V_n$ be the framing correction for the invariant $I_n(M)$ of a homology $3$-sphere $M$ decorated with a framing or bundled bordism. Vanishing conjecture for the framing correction. The framing correction vanishes for every $n>1$:

$$\delta_n(M)=0\qquad\text{for }n>1.$$

If true, only the degree-one term would require a framing correction, so the higher-degree parts of the unframed invariant would agree directly with the decorated invariant. The source does not provide a proof or resolution of this conjecture.