Electronic wise both are correct, and to me a single (pot center pin) pin to the Arduino is enough. Still if you plan to use the pot as a positive/negative and mesure tension drop, the you need the 3 pins to the arduino.
PS I keep forgetting that we refer to the whole board when we say Arduino. To me an Arduino pin is a usable I/o pin. Vcc and gnd are power pins from/to the board and not directly from the atmega.
In the 3 pin configuration, the analogue will read from vcc to gnd, in the 2 pin, the minimum value is as open pin, which may result in a non-zero value