Not all speaker manufacturers avoid the phase issue. See, notably, Dunlavy which documents both frequency and time domain performance. Vendors such as Thiel and Audio Physics (IIRC) and some others also place emphasis on this as well.
Whether "musical" and "accurate" are the same or different objectives is another story, and reflect on the individual designer's (and listner's) preferences.
Whether "musical" and "accurate" are the same or different objectives is another story, and reflect on the individual designer's (and listner's) preferences.