That makes sense.
The same document that allowed you to determine the extended scaled scores also has tables for extended index scores. The only one that would be relevant for your child is the extended VCI, based on what you've reported. You are correct that the sum of scaled scores even given the extended norms on VCI subtests is too low for the extended GAI, so not reporting an extended GAI is appropriate. There's also a pretty big difference between the VCI and the other areas. The appropriate extended measure in this case is the VCI of 171, in contrast to the FRI (which you should have), which I'm assuming is in the 130s or 140s. That 30 or 40 point difference is substantial, and speaks to characterizing this learner more as profoundly verbally gifted, and moderately gifted in nonverbal domains. Although that could change on future assessments, since this is a very young examinee, and the assessment is only capturing this moment in development not only of cognitive abilities, but of skills involved in testability.