Which is a delusional myth to have. Just saying. Some cops would certainly be better, but any cop? nope. For all we know that cop could have been a meter maid and never had to take a single crisis training class in her life for the story. Or could have been a desk clerk. Or a cop with cyber crimes. Again, not a cop that deals with in the field crisis scenarios and wouldn't receive even informal training for it.
Many cops are detectives. They solve the crimes and send the enforcement beat cops to deal with the trash later. They rarely go through crisis scenarios either. Despite what hollywood and TV has shown the average american, what you see on TV is not the average cop.
No its not a delusional myth to have, I am a gun owner, I know many many many gun owners, and with exception to a couple with previous special forces training I would take the average everyday cop vs. armed private citizens every day of the week, twice on Sundays.
And a big part of the reason is the qualifiers for owning a gun is very very very low, the qualifiers for being a cop is higher than owning a gun by nearly every measure.
To own a gun - No drug testing
To own a Gun - No Mental or psychological testing
To own a gun - Minimal background check
To own a gun - no professed duty to protect the public
I could go on but the criteria for being a cop is more stringent than owning a gun. You can argue shot grouping and ability to hit a target under stress all you want, but there is far more to than that.