I can confirm that in Blender 2.91 it’s not possible to have the particles continue to simulate while interactively transforming the object, but the particles start up again as soon as the object is at rest. The parenting trick you mentioned does seem to work well. If the motion is animated though then the particles work fine – it just doesn’t work with interactive movement. Hopefully that’ll be updated in a future version, but for now just keyframe the motion before hitting play. Hope that helps!
