Nope. Straw purchase only applies to firearms purchased from FFLs.
Thanks for your prompt reply. I understand what you commented.
I know of people whose Gun Permit requests have been put on hold pending a check by the Sheriff department that they are not acquiring permits to buy handguns for the purpose of straw-purchases or acting as a firearms dealer. But I guess the check would be for those firearms bought from FFLs (where the Federal forms were filled) and not for those private purchases.