I think cuisine varies even by itself.
If by local food you refer to hawker centre fare that has alot of
frying, then its unhealthy. If you mean home-cooked chinese food
like rice, steamed fish, vegetables and soup, it's healthy.
Similarly, ang mo food like oily burgers and fries are unhealthy,
compared to grilled lean chicken meat and a side of garden
salad.
The food and the preperation makes all the difference. So can't
really generalise them by cuisine 
One exception may be malay / indian food though, cos curries are
staple and contain all that coconut milk.
