Debatable. The Bobby Darrin song is a cover of the Kurt Weill / Bertolt Brecht song, the Capcom character is a reference to the Bobby Darrin song, and this article is likely punning on all of the above.
And actually Mac the Knife was a very popular gossip column in MacWeek magazine in the 90s which was a reference to the song and probably not the video game. That column was most likely in mind as much as the song when this was written.
Yeah, reading my response now, it kind of did sound as if I was implying that the video game character was original "Mac".
I wanted to mention the game as a possible inspiration because of who the author of the article is, and the website. Still doesn't rule out multiple references, as you said.
Actually I wasn't aware of the songs, so TIL, thanks!
MAME is often used to play arcade games on PCs.