I just tested it. From what i'm seeing, the spirals are stable.
Whenever I increase the time step, the spirals do change shape, once i stop changing the time step, they stop changing shape and remain stable.
Whats happening is that when the time step increases, the calculations for the dust particles with a smaller SMA becomes too inaccurate and they fly off. The higher the time step, the bigger the SMA of instability.
I think the dust particles do not have real world velocity and the sim is setting the particles to auto-orbit (at a fictional velocity).