  We show that the torus knots $T(2,5)$ and $T(2,9)$ bound smooth M\"{o}bius
bands in the 4-ball whose double branched covers are negative definite, giving
counterexamples to Conjectures 1.6 and 1.8 of Allen in [New York J. Math. 29
(2023) 1038-1059].
