The Girl (Damsel) with the Green Eyes/AL:SS was an influence on Miyazaki at least: Jodot was named after a character in the book, and the personality of Clarisse from Castle of Cagliostro is based on the female lead (though her name came from the Countess Cagliostro novel, of course).
But as for the book influencing Monkey Punch's character? I personally doubt it. Really the only things I'd say Mr. Katou borrowed from Arsène Lupin novels are: Lupin's an expert burgler, the mystery element in each story, and the "calling card" he (sometimes) sends to his victims-to-be. MP's comics otherwise felt nothing at all like Leblanc's books, which is probably why it stands on its own as an IP instead of getting sued into oblivion early on for swiping the name (also reportedly, Japan used to be lousy at recognizing international copyrights).
That said, I'd love to have a copy of AS:SS. I DO have an old copy of The Woman in Grey, Miyazaki's inspiration for using both a clock tower and a hidden treasure. I wish someone would digitize it so I wouldn't have to, though. Being first published in 1886(?), the book's well into the public domain, I reckon.
Anyway, welcome to the Forum!