The story
Spread in mid-20·00s after physical therapist John Pallof of Boston, Massachusetts, who himself taught it as belly press. Before that it was also referred to by cable chest press and cable core press. Thence we know that the spellings Paloff press, Palloff press, Palof press, pal-off press, Pavlov press, we give here for the findability of this entry to approach their frequency, are illicit.
Etymology from Wiktionary, CC BY-SA 4.0.