You can import a VS Code profile if you first export it to github then import it as a link.
That will also give you the little face icon at the bottom (usual location) through which you can treat your integration logins. There is also “Turn on Cloud Changes” (I don’t suggest it to be used as it messed up my profiles).
What it lacks is the normal Sync.
Any chance we get that so that we could sync our other workstations with ProjectIDX and thus have a simple way of managing profiles?