We are doing BLW with DD (8mo) and have noticed that, although she (sometimes...) eats a lot, she seems to have a definite preference for the unhealthier end of the food spectrum (eg. sweet things like fruit as opposed to vegetables). She can spot broccoli a mile off and has become very good at carefully dropping it over the side of her tray 
The impression given by the BLW book is that BLW babies end up automatically eating a healthy, balanced diet with no need for encouragement. But is this really the case? ie. will a toddler weaned using BLW really eat whatever's put in front of them? I would have expected that, just like adults, they'd prefer certain foods over others. And if so, as the BLW philosophy seems to be to let them eat what they like, how do you then get them to eat healthily?