If it's not an Active Duty Honors team that performs his burial service, there are thousands of veterans in veteran organizations who will gladly do so instead.
I've talked/corresponded with many who are willing to honor the young man and his heroism.
In my opinion, it's up to his family to decide how he is buried and/or honored.
Until his family decides, I am of the opinion that this petition is borderline dancing on his grave.
RIP young man and my sincerest condolences and sympathies to your family and loved ones.