You could compare a box blade and a straight rear blade but not a landscape rake. The rake is just that, it rakes a bit of material from side to side but it wont dig into the ground very much or move dirt as it is just designed for the dirt to flow between the teeth of the rake.
If you need a box blade, I would look out for used. There are tons of them setting around unused and in very good to almost new condition at likely half of the new price.