I agree that this tool is not what would be used on this particular patent shotshell. Lefaucheux describes it as a corkscrew mechanism. But I also don’t think this is the same tool as shown in the article and the picture with the guy.

I think the tool in the article and picture with the gun and guy is something more like what would be used for this shotshell, especially given the date and that they bought the gun from Lefaucheux.