Automatically clear filter when switching database servers

If a database filter is applied and you disconnect from one server and connect to a subsequent server, the filter is not automatically cleared which makes it look like there are no databases on the server you are connect to (assuming none of the database names match the filter used on the previous server). It would be useful if the filter automatically cleared itself when connecting to a new server. Just a nice to have that saves a mouse click, unless someone knows how to do this already

I absolutely support this. Same applies to tables filter.