As far as I remember from trying last time a few years ago, Docker Swarm does not support rebalancing the load of containers and requires either manually issuin

As far as I remember from trying last time a few years ago, Docker Swarm does not support rebalancing the load of containers and requires either manually issuing a command to do that or merely initially balances where containers are started. It this still true? And what about when you have state, which you would need to move between nodes, to make a container work elsewhere?