I don't mind phrases like 'that being said', aside from the general critique of cliche-repetition. To me it carries connotations of the first clause having val

I don't mind phrases like 'that being said', aside from the general critique of cliche-repetition. To me it carries connotations of the first clause having validity while the second apparently contrasting point also has validity. Its specific purpose is to allow a connection between points, without explicitly eliminating or contradicting any of the clauses. Using 'however' or 'but' lacks this contextualisation, and that's without getting into the criticisms of their use is popular speech and writing (i.e. when someone says two clauses of the form 'A, but B.' what they usually mean is 'B').