Hysteresis is only one of the component contributors to delays between pilot inputs and control surface 9and hence aircraft) response. It's really a pseudo-static characteristic - you'll see hysteresis on a slow control sweep if you cross-plot input versus output; there's a pronounced 'circuit' whereby the control input-to-output relationship is not a single straight line, but rather goes 'out' along one line and back along a different (usually roughly parallel) line. Hysteresis is mainly a result of backlash in a circuit, such that there is a deadband between input and output. It can also arise due to circuit compliance.
Dynamic characteristics are more likely to be governed by both the mechanical response of the control system and, perhaps more importantly, but rate limiting and response times within actuators (for a powered system). Hinge memoent limiting can in some cases further complicate the actuator responses.
It gets more complex if you're building a simulator (as opposed to a simulation) because the flight control system on the sim has its own control dynamics, so it's a case of trying to match one with the other over the range of pilot input scenarios.