You’re stretching. Even the NPS lists it as an accidental death and not a battle casualty.
“Its interesting to note that Hough died an accidental death when a cannon discharged while he was loading it. This occurred the day after the battle ended, during a surrender ceremony”
https://www.nps.gov/fosu/faqs.htm
Sure, just as civilian deaths in Hawaii were certainly "accidental", since they resulted from ordnance Americans fired at Japanese planes falling back to earth.
But the simple fact is that without the forced surrender ceremony, those two Union troops would have lived and the four wounded would not have been.
So, to blame those casualties on anything other than the Battle of Fort Sumter is, well, "stretching".