The stronger Arnold-Thom conjecture for unit tangents

Let $f$ be an analytic function and let $x(t)$ be a gradient flow line of $f$. Suppose that $x(t)$ has a limit point $x_{\infty}$ as $t\to\infty$. Stronger Arnold-Thom conjecture. The limit of the unit tangents

$$\lim_{t\to\infty}\frac{x'(t)}{|x'(t)|}$$

exists. This strengthens the solved Thom gradient conjecture from convergence of secants to convergence of unit tangents. The source states that this stronger conjecture remains open.