Tsk-tsk, user... I expect better from you!
The legal status of the recipient does not determine whether a transaction is a straw purchase. If someone is perfectly legal to own, possess, and even purchase the firearm themselves, but a third party conducts the purchase for them on their behalf, it's a straw purchase.
From an
ATF training page:
Generally straw purchasers are utilized because the actual purchaser is not eligible to conduct a transaction because they’re in one or more legally prohibited categories, such as being addicted to a controlled substance, being a felon, being underage, and so on.
However, a straw purchase occurs even when the actual purchaser is not a prohibited person. The crime committed is knowingly making a false statement on the Form 4473 indicating that the straw purchaser is the actual purchaser, when this is not the case.
It is the person buying the gun who commits the offense, which is making a false statement (answering "Yes" to the question on the 4473 that asks, "Are you the actual buyer of this firearm?")