That would be a swizzle stick all right.
But I have evolved beyond the need for such, as long as I stick to the drink I invented.
You stir it with your finger.
I have it on good authority that sitting for an appreciable length of time with one’s finger immmersed in any alcoholic beverage of 180 proof or higher — whether stirring it or not — leads to inebriation via transdermal migration of the alcohol into the bloodstream.