The New Zealand Word Lolly translates as Sweet, as in sweeties – those hard sugary confections that children eat. If someone in New Zealand offers you a lolly, it is not an ice lolly, it’s a sweet.
In consequence of this the term ice lolly cannot be used. It will cause confusion. If you want an ice lolly you must ask for a popsicle…
There is even a classic Kiwi recipe for Lolly Cake. , for which one of the main ingredient is ‘Eskimos,’ – a popular NZ lolly, sorry, sweet.