Inbetween the masses of people who fight for ideology lay the great, ideologically apathetic mass that prefers recreational media & entertainment and quite frankly the mass will only give a fuck about this in episodes, the episodes that directly threaten them, otherwise it's a largely passive opinion of indifference due to complete degenerated ignorance towards what's going on and once the opinion DOES begin to set in, they often shift so far towards one side (and both sides have completely lost capacity for debate and 'conversion' through words.) that there's no drawing them back - the amount of normies who still display relative apathy or worse yet actual ignorance to all these events would be pretty split by something like this, some supporting the shooter, others standing against him looking at him like he's the befuddling demon who killed a bunch of justified rioters (((peaceful protesters))) - the narrative 'they may be burning buildings down but they're not killing people' has already been cited on Twitter and they're gonna go far with it.
As for David Dorn, he was an idol of sympathy for the moderate right and an example some of those the left used for a week or two to say 'wow, this is bad, watch it guys!' and then allowed him to be forgotten as more and more people simply concluded he was a coon trying to stand against righteous, racial justice.
Sociology (and history) will tell you that as the mass of a nation begins to "ideologize" itself, it shifts towards radical ideology due to the fact that the events pressing their "ideologization" are often life or death situations that create immediate feelings of frustration and concern; moderates get drowned out in events like this, more and more, until shades of radicalism themselves begin to seem moderate; the Overton window is already fucked beyond belief, do not expect a great mass of people to be swayed by a white boy standing against Communist street thugs.
He'll be vilified by many, revered by many, and ignored by many - just like every previous victim of these riots to date; don't get me wrong, people will turn more & more to the right, but not the moderate right.