Having no access to the whole article I dare say that "punctuated evolution" is neodarwinistic new-speak for saltationism.
Is sure sounds like it from the bit quoted. If so it is a misuse of the term. However, saltationsism would not be the right term either since that means a large change in one generation.
I suspect that what they mean to say that there is a single jump to a small amount of (but effective) mimicry and then refinement. That is neither punk eq or saltationsism.
It is however a "jump" to have some mimicry appear where there was none. I just don't see why they use the punk eq term and don't see why you would use saltationism unless you misunderstand what the paper might be refering to or the meaning of saltationism itself.
We can sort it out if someone has access to the whole paper.
Ah, after refering to the whole abstract I see you left out an important bit that helps to guess what they mean. They refer to macromutations and micromutations. As best as I can tell the macromutation term refers to larger jumps but fall short of being saltationist.