I had a remote session (through firefox) into my phone and upon exiting AirDroid on my phone I still had full access through firefox.
Phone: DROID RAZR MAXX HD, Android v. 4.1.2.
AirDroid v2.0.4
Phone: DROID RAZR MAXX HD, Android v. 4.1.2.
AirDroid v2.0.4