No, the generic you doesn’t have the history and context of “you people”, and even if it did, using “you people” to refer to groups that people choose to join (i.e the British Government) isn’t a problematic use. The whole point of "you people"being used against ethnic minorities is that it lumps people together as if their skin colour automatically means they follow specific ideologies. The point of an organisation like a government is that they are all working under the same ideology.