Since I'm a former defensive tactics trainer, ground fighting trainer and weapon retention and disarming trainer and practice extensively for drawing against armed bad guys in dry fire, static live fire and force on force with air soft, I feel I have a lot more tools in my tool box to choose from, and what I am confident will work for me is not going to work for the average person. And I'm under no illusion I will even survive the encounter. I pretty much make that stipulation in my posts as well.
However a heck of a lot of people think that they are automatically dead or at someone's mercy if an armed person approaches them. And that couldn't be further from the truth for those who train for such eventualities. And then again,r use of lethal force is reserved only to repel a lethal threat. That usually means the attacker is going to be armed with a knife, club or gun.
Again, no matter what you do, if you haven't trained for it, you're fooling yourself if you expect to win. If someone has a gun pointed at you, and think you're gonna go hand to hand with the man with the gun in his hand and you don't have any training for such situations, you're just as likely to get shot as a person who merely stands there and tries to outdraw the man who has a gun in his hand. And regardless of how much training you have, if you are not committed to act instantaneously and without hesitation, you're likely to get shot as well.
I wouldn't necessarily say CQB is a better strategy. It may be in many circumstances. And in many circumstance that is my preferred method of dealing with someone at contact distance. But CQB is more of an alternate strategy as opposed to the absolute better strategy. And if you aren't trained in CQB or weapon disarming, it's really not that great a thing to try. Best comply and hope for the best.
If complying and hoping they show you mercy is the best strategy for most people, I certainly don't have a problem with that. For me, complying is way, way, way down on the list. I choose not to negotiate with crack heads and stick-up thugs.