If she is a fussy eater i would definitely go for school dinners
at my charges school school dinenrs are compulsory (in fact they are not even allowed to bring any food at all to school
(its also a day and weekly boarding school, so breakfast and tea are also provided and the boarders obviously get all their nutrition requierements through out the day)
Anyway my charges have always eaten very well at home... both eat pretty much any even vaguely normalish food!
I remeber when my eldest charge started there was a girl in his class (who is *completely pandered by mummy (not saying you are just that her mum did) her diet consisted of 'processed crap' and cheese strungs (still processed crap IMO) + she would eat any amount of sweets chocolate cajes etc (and her mum LET HER)
anyway for the 1st 4 weeks this child ate NOTHING at all of her main course.... not so much as one bite once (she did a few of the puddings though again things like apple crumble with custard / rice ppudding she wouldnt touch!.... ginger bread men with choclate chip faces she would eat tho
Anyway after a few weeks she had a sepcial chart where he got a sticker and the whole class made a thing about her eating.... ie after register she could choose her sticker to put on the board.... abd everyone would giver her a clap etc...
We are now 15 months down the line... she eats much better at school... not everything but most days she eats something (last school year there ws always only, 1 main meal, veggy alternative + pudding)... this year it has changed to 1 main meal / veggy alternative / OR JACKET POTATOES and / or salad bar and beans / cheese, 1 pudding OR a muller yogurt and / or a selection of fresh fruit
Howevr shestill doesnt eat that wel at home (which IS because her mum lets her eat loads of crap!)
I wpuld go for it... and if you can stick with offering her moer things at home, hopefully in half a term or a terms time you may find that she will eat better at home too.
also IMO a week is NOT long enough for them to change!