Earlier quoted context omitted.
"I'd like to thank my mother, Ayn Rand, and God" is the usual example. Yes, you can reorder the list to remove the ambiguity, but sometimes the order of the list matters. The serial comma should be used when necessary to remove ambiguity, and not used when it introduces ambiguity. Rewrite the sentence when necessary. Worth noting that this is the Oxford University Press's own style rule!
I always heard this one... We invited the strippers, JFK, and Stalin to the party. [three groups invited - strippers, a president, and a premier] We invited the strippers, JFK and Stalin to the party. [the president and premier are strippers] Very different visual conjured by those two sentences.
That said:
We invited the stripper, JFK, and Stalin to the party.
We invited the stripper, JFK and Stalin to the party.
The supposed ambiguity is back. Although again there is no ambiguity to the reader. The juxtaposition of the two versions wouldn't work as a joke if there was any ambiguity