CBT is pretty simple to identify imo. You identify the faulty "cognitions" or thoughts/behavoir, then you restructure new thoughts/behavoirs to replace those thoughts.
Reframing would be a form of CBT.
You tell me you think most woman hate bald men. I ask you why. I take those reasons from you, then simply replace them with more logical or more useful reasons. However with CBT there is a much heavier behavoiral component obviously. Its more than just thought reframing. A lot of what you read in NLP (neurolinguistic programing) is actually CBT. They are in a way synonymous to each other just that NLP focuses a bit on other things too.
Anyway if you want to identify it is usually carried out in a systematic way, unlike psychotherapy which is very random and imo useless. You will be given exercises, projects, plans & sometimes drs will take you into simulated environments to practice "systematic desensitization" which is a form of CBT. What you mentioned in this thread however does not sound like CBT. It sounds like simple cognitive reframing or thought reframing. It IS definitely related to CBT but CBT is very specific, very organized, and very strategic. You could technically call it CBT. But since he's a psychotherapist he likely has no idea what he's doing.
I've seen some of the best psychotherapists in my state, one in particular who was a fucking genius the guy was great. But even his sessions for the most part were useless. I love psychotherapy and have even taken clinical psychotherapy classes to learn how to do it. But CBT is way better, way more useful, and wayy more effective imo. I just know way too many people that go to psychotherapists and do nothing but sit on a sofa for x years crying about their life. But unless you are actively persuing specific goals and new coping mechanisms to replace old ones, like is done in CBT, you likely aren't accomplishing a whole lot.
I know others will yell at me for that comment too but its just my personal opinion. Psychotherapy is just a crock of shit for the most part (another reason I love it its like sales/advertising for the mind). Its nothing more than a person venting why their life blows and then a "certified" dr telling them "oh no you're wrong your life doesn't blow as much as you think". Fuck that shit wasted 8 years between like 6 different drs and the shit never helped me. But things like NLP/CBT are far more effective and again thats just my opinion. NLP is also something you don't need a doctor to do either, another benefit.