I agree that remote by itself is not a useful tag name. Of 451 questions currently tagged remote 36 of them are also tagged desktop. I guess most of those 36 should be tagged remote-desktop rather than remote and desktop.
Of the other 415 questions tagged remote without the desktop tag, it is likely there are also some that should be tagged remote-desktop, but it doesn't look like the majority.
Some of the questions with the remote tag are also tagged ssh. In those cases I would say that ssh implies remote access, and the remote tag is redundant and can be removed.
But there are questions such as this one about remotely power cycling hardware, which is tagged remote and none of the other tags directly implies remote access.
A question like that might need a new tag to indicate that it is about performing such an operation remotely. That is unless we consider performing system administration remotely so inherent to this site, that we don't need a tag for it.
The tags desktop and local which I found on some of the questions also sound like they are not very useful.