> There were no guns,
There were guns; several firearms charges have been filed related to the Insurrection.
> there was no centralized organization to indicate an insurrection,
A single centralized organization is not required for an insurrection; there were various organized groups with common purpose as well as participants inspired by direct calls from influential leaders without participating in a formal organization.
> the 4 people who died were all protestors,
insurrections, especially unsuccessful ones, very often experience disproportionate casualties. Even beyond disputes about which deaths count as due to Jan. 6, not sure why you’d cite this since it doesn't even support your case.
> But calling it an INSURRECTION is just
Is just factually accurate; it was a violent, unlawful collective action aimed at using force and threat of force against officials as a means of overturning the election and keeping the loser in the paramount executive position; the particular official acts it sought to intimidate people into taking were advocate by the leader it sought to retain in power and the approach of intimidation was also at his direction; it was insurrection in support of an auto-coup.
That it was, perhaps, desperately and hurriedly assembled, poorly planned and organized, and certainly ultimately unsuccessful isn't an argument that it wasn't an insurrection.