@shaun: Yes. To sum up, ground is not a black whole that electrons disappear into.
Earth or safety Ground is to put the chassis at the same el potential as the Earth; or a least the earth nearby. If the chassis were at a different el potential (voltage) than the nearby earth, then a user would get shocked if he touched both the chassis and the earth, or a metal pipe or floor connected to the earth.
Inside the amp, the chassis serves as ground, meaning the return path for the various currents in the amp: HT power; filament power; signal, etc. When each current goes to chassis ground, the electrons do not drain away to somewhere. They are pulled back into the loop of the circuit they belong to, ideally. Unfortunately, electrons going to chassis ground from one circuit might get pulled back into the wrong circuit. E.g., electrons bearing 60 cycle filament hum might get pulled into the signal circuit. Proper grounding schemes can eliminate this or at least reduce it to low enough levels.
Also, if a circuit has more than one path to chassis ground (ground loop), then it might switch which path it takes to ground in random sequences. Except that (in the US) we are surrounded by a lot of 60Hz ambient el energy. This might induce itself upon the otherwise random selection of ground paths, causing a repetitive 60 cycle ground path selection. As a result, 60 cycle hum appears seemingly out of nowhere.