Hotspot theorem conjecture for deterministic dynamically generated basic sequences

Let $Q=(q_n)_{n\geq 1}$ be a deterministic dynamically generated basic sequence. Let the strongest hotspot theorem refer to the assertion that the hotspot hypotheses imply membership in $\mathcal{UN}(Q)$. Hotspot theorem conjecture. Theorem holds for every deterministic dynamically generated basic sequence $Q$. A positive answer would extend the paper’s strongest hotspot result from its currently proved setting to all deterministic dynamically generated basic sequences.