Yes - do as tech support has requested.
I seriously doubt that it is tech support's intention for that to be the final solution - but - it is a necessary troubleshooting step, if you do as tech support has requested, it helps narrow down the problem area - refusing to co-operate just makes the support tech's job a little more difficult and the process takes longer.
For what it's worth, you don't need the ESU to map a drive, you can right click MyNetworkPlaces and select map network drive from the resulting menu and do it there.