Just use it as is. I can undertand the ABBA folk doing their best to look right but I would question the need for anyone else. Rutger may have wished his Jazz was the colour of yours (not far removed from his Hagstrom, by the way).
His was also a dot neck. Are you changing that? If not, you're not authentic. Personally, play it as it is and save yourself the money (and the time without it). I played in a very good ABBA tribue with a 75 black Jazz with pearl blocks on the maple neck.
Up to you, of course, but why bother?