Some recent accounts of testimonial warrant base it on trust, and claim that doing so helps explain asymmetries between the intended recipient of testimony and other non-intended hearers, e.g. differences in their entitlement to challenge the speaker or to rebuke the speaker for lying. In this explanation ‘dependence-responsiveness’ is invoked as an essential feature of trust: the trustor believes the trustee to be motivationally responsive to the fact that the trustor is relying on the trustee. I argue that dependence-responsiveness is not essential to trust and that the asymmetries, where genuine, can be better explained without reference to trust.