Who was your instructor? He certainly overstepped his bounds of instruction and provided false information.
I am not sure what 'clarification' you are looking for. Those are the facts that exist. No one is going to be able to give you clarification that makes those facts disappear.
If you want to obey CT state law and New Britain's ordinance, you must open carry. If you care only about state law, and not about New Britain's ordinance, concealed means concealed.
Personally, I tend to open carry most places, especially in New Britain. I do understand that some people prefer discreet carry over open carry, but the laws are the laws.
There is little 'grey area' left with regards to the legality of open carry, but there is still plenty left with state preemption on firearms laws in CT. I am unaware of the New Britain or New London ordinances being challenged in court yet.
BTW - I am a law abiding citizen, I open carry, I have both been arrested and hassled by the police. And I am *still* a law abiding citizen. Following the law is what makes me a law abiding citizen, regardless of rogue police officers who choose to selectively enforce those laws.