So then similarly, wouldn't it follow that badges mean absolutely nothing when you're BEING stopped?

When I'm stopped by a cop, I may or may not have ANY idea why. I certainly have NO idea IN THE WORLD who he is, or what his record is. If the cop shouldn't trust somebody who's passed a background investigation to get a CHL, there's certainly no reason for me to trust a cop who's passed a background examination to get a badge. He could be a good guy or he could be Justin Volpe. Therefore, I shouldn't talk to him in any way not specifically mandated by law, right? And consenting to any search would be utterly out of the question, right?

Every argument that you can make for why a cop shouldn't trust a citizen with a CHL during a stop is 100% equally applicable to why a citizen with a CHL shouldn't trust a cop during a stop.