The Short Version
The core claim is substantially accurate. Under COPPA, a child-directed mobile game may serve purely contextual ads to under-13 users without verifiable parental consent when personal information is not collected, used, or disclosed for behavioral advertising. The main caveat is that COPPA covers only children under 13; for ages 13–15, the result is generally the same, but for a different legal reason, and other laws or platform rules may still apply.