[sov]

Without Oxford comma: "We invited JFK, the stripper and Stalin." [three distinct items in the list]

With Oxford comma: "We invited JFK, the stripper, and Stalin."[two named items in the list with an appositive affirming that we're talking about JFK the stripper and not the former president]

[alistairSH]

Yes, changing the order and the number of items (plural strippers in original to singular stripper in yours) changes the meaning. That is unsurprising.