Don´t know what Siemens Edge can do or not, but we had good luck with EWON remote access routers.
The integrator offers remote support and we run our factory network up to the EWON, so both the inegrator and we can access the robot and with the PC-Interface option on the Controller.
From there do whatever you like, Logs would mean for me open Robotstudio and take a look (and start the signal analyzer)