I feel strongly that this adaptation is thrown way off balance by the addition of a 3/4 oz pour of lime juice.
The original was a long shot that became popular but broke the rules by adding a small(!) amount of lime to a stirred drink. I feel the original is much more balanced and works for a stirred drink with:
1oz white rum
1oz Cynar
1/4oz chartreuse(green)
3/4tsp rich demerara syrup
3/4tsp lime juice
That formula, I think, makes for a better, more balanced drink.