Robust expansiveness for sectional hyperbolic attracting sets without strong dissipativeness

Let $G$ be a $C^1$ vector field exhibiting a sectional hyperbolic attracting set.

Robust expansiveness conjecture. Theorem~ is still true for all $C^1$ vector fields exhibiting a sectional hyperbolic attracting set.

The preceding theorem establishes $C^1$ robust expansiveness under the additional $1$-strongly dissipative hypothesis. The conjecture asks whether that technical assumption can be removed for all sectional hyperbolic attracting sets.