'close enough'

Don't know what your "offering" is/was, Musick, but I have an ancillary question.

Is the "honourable" in "honorable mensch" superfluous?

Can a mensch be dishonorable, or without honor, and still be a "mensch"?

[Not making a judgment, just askin'.]

P.S. I always heard that "close enough" only counts with horseshoes and WMDs.