When I visited Yucatan several times decades ago, small regular sugar-apples were called Saramuyo in Merida. Go a few towns down the road, and names will be used differently. It it has been popularized now to call just big-fruited varieties that there, or here in the USA, fine.
The big special fruits were then called "injerto." Though this word should mean "graft", the conversations seemed to be about hybrids.
These looked similar to what is being called Giant Yucatan, and similar names here on the forum. We used one that we called "M-1" in breeding trials.
We were always up front about not knowing its classification: strange sugar-apple, other species, hybrid, or ancestral form.