Within our Sitecore SXA 1.9 project, we're having a Template with a Multi-Root Treelist field.
This field has the following query:
query:/sitecore/content/Event Sites//*[@@name='Home']
As a result, the field is populated as:
Would it be possible to display the actual website names instead of '(Current Site)'?

If you are using this code (https://gist.github.com/kamsar/33d1245ffdb630b1f126) for multi root treelist, then you should be able by creating a custom MultiRootTreeView by extending MultiRootTreeView and use it instead of the default Sitecore.Web.UI.WebControls.MultiRootTreeview()
Create a custom tree view here (adjust according to your need btw)
Use your Custom MultiRootTreeview here (within your MultiRootTreeList Implementation)