Difficult to guess that one for me. Cannot say much, closest E. punctata to me is some 400 km away, and may not be there anymore even if it was once.
But one good thing to do when finding E. punctata out of Australia is trying to photograph flower buds and capsules (we have capsules for this one). The reason is that E. punctata is just one of the Grey Gums, and they look quite alike from a distance.
E. punctata is the southernmost one (Central NSW, to the Northwest of Sydney) and larger fruited one, but they keep going along the coast to the North of Brisbane (QLD). That is a huge distance. So, either bud and fruit sizes and shapes, or original seed collection area can yield useful data for proper ID. Bark can give good hints, but as Phil said, it is more variable.
The Antibes tree looks very nice and healthy. Gracias Benito!