When publishing a workspace to Server, the last step is to choose the service, or the mode the workspace runs as. It sounds like it was published as a Data Download (writer output is returned to user as a file download), when for your use you'd want it to be a standard Job Submitter. Job Submitter is the most similar to running a workspace with FME Desktop.
In terms of the location the server outputs the data to, it can be anywhere the server can see/has permission to write to. So (depending on your network) it probably can't write to your own computer's drive, but it probably can write to a shared network location.
When publishing a workspace to Server, the last step is to choose the service, or the mode the workspace runs as. It sounds like it was published as a Data Download (writer output is returned to user as a file download), when for your use you'd want it to be a standard Job Submitter. Job Submitter is the most similar to running a workspace with FME Desktop.
In terms of the location the server outputs the data to, it can be anywhere the server can see/has permission to write to. So (depending on your network) it probably can't write to your own computer's drive, but it probably can write to a shared network location.
@ctredinnick Thank you. That is likely my issue...that the server isn't able to write to my local drive. I didn't think about that.