I had the Thai mussels (lemongrass moules) with mushrooms instead of fries because they do have a shared fryer. They were delicious!
Update: I am no longer sure that they have a dedicated fryer.
I've eaten here several times without any issues. I love their 6 before 6pm deal! Make sure to mention that you are ordering gluten free. They have always swapped out the bread for a salad (my request) for no extra charge.
I am not 100% sure if the fryer is dedicated. They say it is when I ask, but be safe and ask!