Question regarding coin change algorithm (DP and greedy)

The question goes something like this:

Suppose you are living in a country where coins have values that are powers of p, V = [1, 3, 9, 27]. How do you think the dynamic programming and greedy approaches would compare?

Intuitively I want to answer that DP will be faster because greedy runs the same number of comparisons regardless of the relationship between the elements in V. But DP is a recursive call on previous elements, so the fact that there is always a ratio of p between each denomination of V would suggest that DP will end up making less recursive calls. Can anyone confirm my answer or tell me why I’m wrong?

=================

=================

=================