Translation conjecture for eternal triod blow-ups

Let $\mathbb T^\infty_{\mathfrak t}$ be an eternal evolution by curvature of an unbounded embedded triod, curve, or curve with a single endpoint. Translation conjecture. The triods, or curves, $\mathbb T^\infty_{\mathfrak t}$ move by translation. This is the second conjecture concerning blow-up limits of Type II singularities, analogous to the translating-limit conclusion for convex eternal flows of closed planar curves. The source gives no proof and explains that the conjecture would imply exclusion of Type II singularities for embedded triod flows under suitable lower length bounds.