As long as the controllers lock into place correctly when they are plugged into the station (charging process is indicated by a yellow light), there should be no wobbling. At least this is not the case for me. However, you have to get used to the mechanism at first.
Unfortunately, we do not have any information on this, as the supplier himself still has to wait for a subsequent delivery from the manufacturer and no new information is available in this regard. However, as soon as something changes in this regard, we will update this here. Sorry.
The new controllers are identical in construction except for a few details (light strip on the top edge) and are therefore compatible with the accessories.