Why is that relevant? The support test for a qualifying child only requires that the child not be self-supporting. It doesn't matter in the slightest who does provide the support - as long as it's not the child.
The only thing the client might need to prove is the residency test based on the temporary absence rule, since the parental priority is automatic. I'm not sure how much of that proof is legal versus factual. Support, if relevant at all, will be secondary (e.g. the support provided by your client is evidence that there was clear intent that the absence was temporary, or that the placement with the grandparents was motivated by circumstances and not financial need). A copy of military orders may be the most significant record.
This does not preclude the likelihood that they will (again!) try to claim the exemption for the grandchild - but they WILL lose on the facts. This battle is one they cannot possibly win, unless much "truth distortion" occurs. And my client is fully armed with the relevant facts/records.
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