I agree with your point except for the idea that having a couple drinks at lunch is the same thing as day drinking. I mean, he wasn't even drunk enough to force the police to make him do a field sobriety test. The pictures from the two trips to Texas clearly show he was lit though.
I think the biggest problem with all three incidents from the Browns' perspective though is that all three sparked endless questions for everyone to deal with and we're just giant distractions. His play on the field, while somewhat improving, doesn't warrant that constant headache.