I think it is important to find out more about your gifted program. I live in a city with different school boards and they have vastly different qualifying criteria and ideas about what gifted programming looks like and that is just two examples. Reading posts here there are even more variations out there.
Some gifted programs are FANTASTIC for 2e kids. The teachers are used to dealing with 2e kids and they are far better than average at accommodating them. We're super lucky that our 2e DS is in a program like this. He's thriving in a way that just wasn't happening in an average classroom.
Other schools have gifted programs that are more aimed at the high achieving gifted kids. They basically take the normal curriculum and speed it up. Often it is more of the same or same but higher expectations rather than different. This would not work with my DS but my DD (not 2e) would probably be fine in something like that.
It think it really, really comes down to the teacher and how skilled they are at accommodating. I can say that my 2e kid is thriving in his gifted class but honestly most of that is about the teacher and his particular class where he isn't the only 2e kid. Throw him into a class of super high achieving gifted kids without accommodations or with a teacher that doesn't get 2e and I suspect it would be a disaster for him.
