at the moment to answer your question(s)
1. no citizens (state specific) for the most part do not have the same legal rights as nice LEs to use deadly force as they have qualified immunity ~ period.
2. no citizens (state specific) do not have the right to use deadly force to stop persons "from fleeing'...anything. citizens use of deadly force centers around the premise the citizen needs to stop the IMMEDIATE threat or perceived threat of bodily harm, death or in the case of NC sexual assault. (in NC the statutes are clear you shot and wound/kill you will be charged and "if a person of reasonable firmness" (normally the DA) determines, based on the situational investigation, deadly force was justified or not. if they do you are off the hook for the incident.
so you want citizens chasing after alleged BGs, shooting wildly at vehicles or BGs to stop them over replaceable property OR when no crime as actually taken place when someone Attempts to rob someone w/o evidence of threat to the person's life or serious bodily harm to the victim...this should work out really well.
finally, with the exception of NC, citizen arrests (state specific) are permissible...not sure i want to be charged with kidnapping or federal wiretapping charges and personally would rather be a good witness.
btw, you did notice the CO man should be worried about prosecution ?