I don't have near the level of giftedness or 2e as others here but wanted to let you know that I too have a kid who's scores were scattered and lower than expected. DD8 was also doing puzzles at 3 that stumped 8-9 yo but reading didn't really take off until she was in 1st grade.
Anyway, we also struggled with the decision to send her to the gifted program and decided to do so despite not yet knowing what is going on. I am now convinced she'll be able to let her strengths grow and bring her confidence up in addition to perhaps having better odds of finding kindred spirits of other smart, quirky, anxious, kind kids while we support her challenges. It was reassuring to have the asst. principle and a former teacher both say (fully knowledgable of her challenges) that if anyone should go to the gifted program, it's DD.
Go with your gut...