The slice-genus, unknotting-number, and Seifert-genus conjecture for Turk’s head knots

For a Turk’s head knot $Th(p,q)$, let $g_4$ denote slice genus, $u$ unknotting number, and $g_3$ Seifert genus. Turk’s head genus conjecture.

$$u(Th(p,q))\leq g_3(Th(p,q)),$$

and equality $g_4(Th(p,q))=u(Th(p,q))=g_3(Th(p,q))$ occurs only for $Th(3,2)$. The paper presents this as a proposed conjecture and gives no resolution.