It could be argued that application of some power to cushion a bounce with the intention of re-landing further down the available landing length, introduces the added risk of an over-run if the student mis-judges the remaining landing length available. While that is true, it could also be argued it is safer that risking an incipient stall/spin which happened in the Jabiru fatal accident.
Centy, I would back you on that and add the following. By adding some power and regaining control it is a much better place to execute a second landing, or give you time to gently roll in more power to go around.
What I see around the ridges is this ridiculous notion that you should firewall the thing instantly, which is never the case. Add power, regain control (which may mean just trimming in a normal GA) and then progressively add more and fly away.
YMMV as they say!