Chat logs don't mean anything. What does are what the promo deals state and if you qualify for that particular promotion. BOGO doesn't automatically translate to free second phone either -- it just means the second phone is discounted to a certain extent.
If you don't qualify for a promo or if the details were get one half off, that's it. Verizon isn't going to give someone special treatment for a promo they didn't qualify for / bend the rules because you don't like what the promo details were.