Does the E hotkey do exactly the same thing as G except in the relation to the playhead?
It almost does the same thing, G will move ALL the selected keys.
E will only move the ones in relation to the playhead and the mouse position.
The advantage of E is that you don't need to select and deselect everything all the time - greatly increasing your speed and not knocking you out of flow state (if you happen to be in flow state)