What "paring knife" best sharpens a fruit Y peeler?

According to this article, there are 4 types of paring knife, the "spear tip", the "bird's beak", the "sheep's foot", and a "Western-style Japanese" paring knife.

From your image, it looks like the chef is using a "sheep's foot" paring knife. However, for the purpose of sharpening a vegetable peeler, you only need a small straight length of the knife's blade, so specifically which type you use won't make too much difference except for the "bird's beak" as it is curved.