PRO:
It was in a good location though for exploring both the Quarter and Bywater, right next to bike rental shops (highly recommended), and a Blue Bike stand (which may or may not be empty!).
The apartment was clean and pleasant, and the aircon was very good.
CON:
There were ongoing access issues when I stayed: the lock on the gate to the property was broken, so we were given instructions to get via the next door property on Elysian Fields.
This was very expensive given the location: Washington Sq is a bit down at heel, maybe a bit edgy at certain times. I've been to NOLA a number of times, so I knew what to expect, but it might feel a little scary to some.
Yes, it's close to Frenchman, and the apartment wasn't too noisy - except for the weekend - but if you like a quiet life then a couple of blocks up in either Marigny or Bywater, South of St Claude, might be a better bet.