Week of Christian Unity

Was struck by a comment our visiting preacher made in his sermon yesterday regarding the idea of the Week for Christian Unity. In Welsh, the term used for the CTBI is 'Cytun' - which means 'Agree' or 'Agreeing Together' . The English version is 'Churches Together ...' . Doesn't the plural form of 'church' almost negate the concept of togetherness? Would it not be better for the umbrella organisation to be know as 'The Church Together in Britain and Ireland' or something of that ilk? After all, isn't the main idea all about the unity of Christians, rather than church institutions and 'buildings'?