From a marketplace review (From Abhay Prakash Tiwari on 3/31/2022). Here's the relevant comment:
"2. not documented well to modify server url"

While the Jupyter: Specify Jupyter server for connections allows me to specify a different server, remembering and finding this command could be made more intuitive. Perhaps provide a choice in the kernel picker to change your remote server?

This may dovetail into the work we're doing here: microsoft/vscode#146942