Fix lang servers status set to Downloading when checking version (#22292)

This message has confused me many times too: we printed the status as
"Downloading" when we were only checking whether we need to install a
given version of a language server.

This fixes the issue for Node-based language servers where we had the
same check in all implementations.

Closes  #22241

Release Notes:

- Fixed some language servers reporting status as "Downloading..." when
only a version check was being done.