What do hits on bosses in Donkey Kong Country Returns mean and how do I earn them?

To get multiple hits on a boss, there is a small time span just before Donkey Kong punches the boss and just after where you need to start shaking the controller like you would when doing a ground pound. It takes some practice to figure out the right moment to start. If you shake too early or late, you won't get any additional hits.

The most hits I've gotten was 23. I've never earned anything for the hits, so I don't think they're good for anything more than bragging rights.