OK,
Good on you for using the new T5 fluoro's.
Considering that these units use High Frequency ballasts.
I've never liked the idea of shared neutrals, in fact, to a degree here in New Zealand they are illegal.
The thing that I hate about them is that you never know exactly what else is on that particular neutral.
I disconnected a light fitting in a chiller at a meat works I used to work at and found that a lot of stuff was tied to that particular neutral, in so much that the main neutral heading back to the board was warm, considering that that was in a -12C Chiller.