I just received that GL.iNet little router and immediately installed it. In short: it works beautifully! I can connect the Empeg to its LAN port and my Android phone will connect to its WiFi. I can then load up the Empeg remote app which indeed works very good.
Now I'll just have to find a way to run an RCA cable to Aux-in of the headunit. Or maybe use a Bluetooth transmitter.