While that sounds like a nice summer drink, it's not a mint julep.
Liqueurs can also be fairly approximated as "sugar and a little water" with flavoring. So, not all that different.
From https://en.wikipedia.org/wiki/Mint_julep - Mint julep is a mixed alcoholic drink, or cocktail, consisting primarily of bourbon, sugar, water, crushed or shaved ice, and fresh mint.