As long as you understand all the landmines that come with testing at that age, I think you are fine. I just double checked what subtests she'd get. I knew there was a shorter version that would provide much less information, but at 4 she would get the same as the older kids.

Another important thing to consider about the WPPSI/WISC is that the former relies more on crystallized intelligence. For instance, the information section is a core sub test in WPPSI and an optional one in WISC.

All achievement tests measure reading and math so if that is not what she is about at this time, then I would not pursue AT until later (you can't even apply to DYS until 5, so even if she hit the 150 score, you'd need to wait). My ODD was clearly very smart but she was not an early academics type of kid. The academic gap from her age peers only increased over time.