Exactly. And if the new GODZILLA movie had been about a giant radioactive lizard named NUKESAURUS it wouldn't have been the same.
Although there are certain essentials that should be retained in order for a reboot to really warrant the same name. The 1998 Godzilla movie was so far removed from Godzilla that the fanbase has never accepted it as a legitimate reboot, and this is a continuity that had already been rebooted once before and has been rebooted seven times since, counting both Japanese and US versions. (Really, it was more a remake of The Beast From 20,000 Fathoms than of Godzilla anyway.)
The problem is that some people don't get the difference between the details and the core essentials. As long as you get the essentials basically right, it doesn't matter how much else you change. It's when you get the essentials wrong that it becomes a problem, like Emmerich's Godzilla or Snyder's Superman. And even then, people disagree over what those essentials are. Some people think Snyder's Superman works, others think it's a betrayal and misunderstanding of the character's essence. Some people think the Kelvin movies captured the personalities and essence of the TOS crew marvelously, others think it totally screwed them up.