The speaker was Dr. Okrand himself, and the lack of aspiration was systematic enough that it seemed quite intentional. (FWIW at least one of the apparently non-aspirated /p/ sounds might have been a /b/, but it’s a little hard to tell.)
I would not take Okrand's pronunciation of dialectical speech in Power Klingon too seriously. It was recorded before the publication of KGT. It was trying to make the dialectical speech sound silly and wimpy compared to the standard dialect. The tape is a very tongue-in-cheek rendition of a traveler's audiotape, and no dialect-native Klingon appeared to be consulted for it.
Non-aspirated p in Morskan? Maybe, but you'd need more
than Power Klingon to conclude that.
-- SuStel http://trimboli.name