Metallurgically, doing the whole blade is better. Martensite is stronger than pearlite. The tang and upper blade can be drawn back with a torch to give a differential temper if desired.
In practicality, on a kiridashi it doesn't matter. If you edge quench, make sure that at least 1" of the blade past the edge is at the target temperature.
When doing a batch of blades and using an oven, the whole lot can be heated together, and then removed one at a time for quenching.