To answer #2, no. Apple played into ATT's lies when they were behind on 4G LTE deployments and labeled 3G HSPA+ as 4G. ATT is far more brazen than other US carriers in this scheme and should be held accountable. Apple also displayed this bogus logo on the iPhone at the time. Keep in mind, however, Apple had strong exclusivity with ATT during the early years of the product.
ATT seems to like to confuse the truth more often than other carriers as well. One big, recent, fiasco was supporting wideband audio (HD calling) and WiFi calling on Google Pixel handsets. ATT never said in print they didn't support it and made references to the fact that all feature were supported on their website. When you'd call them ATT support would claim it was fully supported, yet ATT did not. This was true for both OG Pixels and PIxel 2s for both at launch and well into those device lifecycles. I know because I had technical tickets opened for about a year with ATT before leaving them. The point being ATT likes to pretend a lot. Of all the carriers (have been customers of the major 3 for different products over the years) they are, in my opinion, the least trustworthy in that regard.
https://forums.att.com/t5/Device-Features/Pixel-Pixel-2-VoLT...