Although they sometimes cause the same reactions (refusal to admit error and vengeful responses), I don't think they're really the same. Almost all the East Asian cultures have some variants of face, and it is more concerned with often subtle social failures that Westerners and Americans in particular would not give a single shit about, to the point they're baffled when Asians engage in these practices.
I think "face," though, especially the non-Chinese varieties, is generally rooted in an actual sense of honor of some sort.
The jeet version is completely fucking retarded if it is being described correctly, and I think it is, because jeets actually do this stupid fucking retarded apeshit subhuman stuff all the time.
Even machismo culture is a shade above whatever the fuck this jeet shit is.